Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00087: Permutations —inverse first fundamental transformation⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00087: Permutations —inverse first fundamental transformation⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1]=>[1]
[.,[.,.]]=>[2,1]=>[2,1]=>[2,1]=>[2,1]
[[.,.],.]=>[1,2]=>[1,2]=>[1,2]=>[1,2]
[.,[.,[.,.]]]=>[3,2,1]=>[2,3,1]=>[3,1,2]=>[3,1,2]
[.,[[.,.],.]]=>[2,3,1]=>[3,2,1]=>[2,3,1]=>[3,2,1]
[[.,.],[.,.]]=>[3,1,2]=>[3,1,2]=>[3,2,1]=>[2,3,1]
[[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>[2,1,3]
[[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>[1,2,3]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[2,3,4,1]=>[4,1,2,3]=>[4,1,2,3]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[2,4,3,1]=>[3,4,1,2]=>[4,1,3,2]
[.,[[.,.],[.,.]]]=>[4,2,3,1]=>[3,4,2,1]=>[4,1,3,2]=>[4,3,1,2]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[4,3,2,1]=>[3,2,4,1]=>[4,3,2,1]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[4,2,3,1]=>[2,3,4,1]=>[4,2,3,1]
[[.,.],[.,[.,.]]]=>[4,3,1,2]=>[3,1,4,2]=>[4,2,1,3]=>[2,4,1,3]
[[.,.],[[.,.],.]]=>[3,4,1,2]=>[4,1,3,2]=>[3,4,2,1]=>[2,4,3,1]
[[.,[.,.]],[.,.]]=>[4,2,1,3]=>[2,4,1,3]=>[4,3,1,2]=>[3,1,4,2]
[[[.,.],.],[.,.]]=>[4,1,2,3]=>[4,1,2,3]=>[4,3,2,1]=>[2,3,4,1]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[2,3,1,4]=>[3,1,2,4]=>[3,1,2,4]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,2,1,4]
[[[.,.],[.,.]],.]=>[3,1,2,4]=>[3,1,2,4]=>[3,2,1,4]=>[2,3,1,4]
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]
[[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4]
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,5,1,2,3]=>[5,1,2,4,3]
[.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5,1,2,4,3]=>[5,1,4,2,3]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[4,3,5,1,2]=>[5,1,4,3,2]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,4,5,1,2]=>[5,1,3,4,2]
[.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5,1,3,2,4]=>[5,3,1,2,4]
[.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,5,1,3,2]=>[5,3,1,4,2]
[.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5,1,4,2,3]=>[5,4,2,1,3]
[.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5,1,4,3,2]=>[5,3,4,1,2]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[4,2,3,5,1]=>[5,4,2,3,1]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[3,4,2,5,1]=>[5,4,3,2,1]
[.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,5,2,1,3]=>[2,5,1,4,3]
[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5,2,1,4,3]=>[2,5,4,1,3]
[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[4,3,5,2,1]=>[2,5,4,3,1]
[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,4,5,2,1]=>[2,5,3,4,1]
[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,5,3,1,2]=>[3,1,5,4,2]
[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5,3,2,1,4]=>[2,3,5,1,4]
[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,5,3,2,1]=>[2,3,5,4,1]
[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5,4,1,2,3]=>[4,1,2,5,3]
[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5,4,1,3,2]=>[4,3,1,5,2]
[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5,4,2,1,3]=>[2,4,1,5,3]
[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5,4,3,1,2]=>[3,1,4,5,2]
[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>[4,1,2,3,5]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,4,1,2,5]=>[4,1,3,2,5]
[[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1,3,2,5]=>[4,3,1,2,5]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,2,1,3,5]=>[2,4,1,3,5]
[[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,4,2,1,5]=>[2,4,3,1,5]
[[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,3,1,2,5]=>[3,1,4,2,5]
[[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1]=>[6,1,2,3,5,4]=>[6,1,2,5,3,4]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]=>[6,1,2,4,3,5]=>[6,1,4,2,3,5]
[.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1]=>[5,6,1,2,4,3]=>[6,1,4,2,5,3]
[.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1]=>[6,1,2,5,3,4]=>[6,1,5,3,2,4]
[.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[2,5,6,3,4,1]=>[6,1,2,5,4,3]=>[6,1,4,5,2,3]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>[5,3,4,6,1,2]=>[6,1,5,3,4,2]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>[4,5,3,6,1,2]=>[6,1,5,4,3,2]
[.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[2,6,5,3,4,1]=>[5,4,3,6,1,2]=>[6,1,4,5,3,2]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1]=>[4,3,5,6,1,2]=>[6,1,4,3,5,2]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]
[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1]=>[6,1,3,2,4,5]=>[6,3,1,2,4,5]
[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1]=>[5,6,1,3,2,4]=>[6,3,1,2,5,4]
[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1]=>[6,1,3,2,5,4]=>[6,3,1,5,2,4]
[.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1]=>[5,4,6,1,3,2]=>[6,3,1,5,4,2]
[.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[3,6,2,4,5,1]=>[4,5,6,1,3,2]=>[6,3,1,4,5,2]
[.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>[6,1,4,2,3,5]=>[6,4,2,1,3,5]
[.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1]=>[5,6,1,4,2,3]=>[6,4,2,1,5,3]
[.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[4,5,2,3,6,1]=>[6,1,4,3,2,5]=>[6,3,4,1,2,5]
[.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[4,6,2,3,5,1]=>[5,6,1,4,3,2]=>[6,3,4,1,5,2]
[.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]=>[6,1,5,2,3,4]=>[6,5,2,3,1,4]
[.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1]=>[6,1,5,2,4,3]=>[6,5,4,2,1,3]
[.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[5,4,2,6,3,1]=>[6,1,5,3,2,4]=>[6,3,5,2,1,4]
[.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[5,3,6,2,4,1]=>[6,1,5,4,2,3]=>[6,4,2,5,1,3]
[.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[5,6,2,3,4,1]=>[6,1,5,4,3,2]=>[6,3,4,5,1,2]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>[5,2,3,4,6,1]=>[6,5,2,3,4,1]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>[4,5,2,3,6,1]=>[6,5,2,4,3,1]
[.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1]=>[5,2,4,3,6,1]=>[6,5,4,2,3,1]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1]
[.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[6,4,2,5,3,1]=>[5,3,2,4,6,1]=>[6,3,5,2,4,1]
[.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[6,5,2,4,3,1]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]
[.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[6,3,5,2,4,1]=>[5,4,2,3,6,1]=>[6,4,2,5,3,1]
[.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[6,5,2,3,4,1]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[6,3,4,2,5,1]=>[4,2,3,5,6,1]=>[6,4,2,3,5,1]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1]
[.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[6,4,2,3,5,1]=>[4,3,2,5,6,1]=>[6,3,4,2,5,1]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]
[[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[3,1,4,6,5,2]=>[5,6,2,1,3,4]=>[2,6,1,3,5,4]
[[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[3,1,5,6,4,2]=>[6,2,1,3,5,4]=>[2,6,1,5,3,4]
[[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[3,1,6,5,4,2]=>[5,4,6,2,1,3]=>[2,6,1,5,4,3]
[[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[3,1,6,4,5,2]=>[4,5,6,2,1,3]=>[2,6,1,4,5,3]
[[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[4,1,5,3,6,2]=>[6,2,1,4,3,5]=>[2,6,4,1,3,5]
[[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2]=>[5,6,2,1,4,3]=>[2,6,4,1,5,3]
[[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[5,1,4,6,3,2]=>[6,2,1,5,3,4]=>[2,6,5,3,1,4]
[[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[5,1,6,3,4,2]=>[6,2,1,5,4,3]=>[2,6,4,5,1,3]
[[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[6,1,4,5,3,2]=>[5,3,4,6,2,1]=>[2,6,5,3,4,1]
[[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[6,1,5,4,3,2]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]
[[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[6,1,5,3,4,2]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]
[[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[6,1,4,3,5,2]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1]
[[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1]
[[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[2,4,1,5,6,3]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[2,4,1,6,5,3]=>[5,6,3,1,2,4]=>[3,1,6,2,5,4]
[[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[2,5,1,6,4,3]=>[6,3,1,2,5,4]=>[3,1,6,5,2,4]
[[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[2,6,1,5,4,3]=>[5,4,6,3,1,2]=>[3,1,6,5,4,2]
[[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[2,6,1,4,5,3]=>[4,5,6,3,1,2]=>[3,1,6,4,5,2]
[[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5]
[[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[4,1,2,6,5,3]=>[5,6,3,2,1,4]=>[2,3,6,1,5,4]
[[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3]=>[6,3,2,1,5,4]=>[2,3,6,5,1,4]
[[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]
[[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1]
[[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[2,3,5,1,6,4]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[2,3,6,1,5,4]=>[5,6,4,1,2,3]=>[4,1,2,6,5,3]
[[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[3,5,2,1,6,4]=>[6,4,1,3,2,5]=>[4,3,1,6,2,5]
[[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[3,6,2,1,5,4]=>[5,6,4,1,3,2]=>[4,3,1,6,5,2]
[[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5]
[[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[3,1,6,2,5,4]=>[5,6,4,2,1,3]=>[2,4,1,6,5,3]
[[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5]
[[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[2,6,1,3,5,4]=>[5,6,4,3,1,2]=>[3,1,4,6,5,2]
[[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]=>[6,4,3,2,1,5]=>[2,3,4,6,1,5]
[[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]
[[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[2,3,4,6,1,5]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]
[[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[2,4,6,3,1,5]=>[6,5,1,2,4,3]=>[5,1,4,2,6,3]
[[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[3,4,2,6,1,5]=>[6,5,1,3,2,4]=>[5,3,1,2,6,4]
[[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[4,3,6,2,1,5]=>[6,5,1,4,2,3]=>[5,4,2,1,6,3]
[[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[4,6,2,3,1,5]=>[6,5,1,4,3,2]=>[5,3,4,1,6,2]
[[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4]
[[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]=>[6,5,2,1,4,3]=>[2,5,4,1,6,3]
[[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4]
[[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]=>[6,5,3,2,1,4]=>[2,3,5,1,6,4]
[[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3]
[[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[3,6,2,1,4,5]=>[6,5,4,1,3,2]=>[4,3,1,5,6,2]
[[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]=>[6,5,4,2,1,3]=>[2,4,1,5,6,3]
[[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2]
[[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[2,4,5,3,1,6]=>[5,1,2,4,3,6]=>[5,1,4,2,3,6]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[2,5,4,3,1,6]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]
[[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[3,4,2,5,1,6]=>[5,1,3,2,4,6]=>[5,3,1,2,4,6]
[[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[3,5,2,4,1,6]=>[4,5,1,3,2,6]=>[5,3,1,4,2,6]
[[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[4,3,5,2,1,6]=>[5,1,4,2,3,6]=>[5,4,2,1,3,6]
[[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[4,5,2,3,1,6]=>[5,1,4,3,2,6]=>[5,3,4,1,2,6]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[5,3,4,2,1,6]=>[4,2,3,5,1,6]=>[5,4,2,3,1,6]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6]
[[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[5,4,2,3,1,6]=>[4,3,2,5,1,6]=>[5,3,4,2,1,6]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]
[[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[3,1,5,4,2,6]=>[4,5,2,1,3,6]=>[2,5,1,4,3,6]
[[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]=>[5,2,1,4,3,6]=>[2,5,4,1,3,6]
[[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]=>[4,3,5,2,1,6]=>[2,5,4,3,1,6]
[[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6]
[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[2,4,1,5,3,6]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[2,5,1,4,3,6]=>[4,5,3,1,2,6]=>[3,1,5,4,2,6]
[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]=>[5,3,2,1,4,6]=>[2,3,5,1,4,6]
[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6]
[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[2,3,5,1,4,6]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[3,5,2,1,4,6]=>[5,4,1,3,2,6]=>[4,3,1,5,2,6]
[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]=>[5,4,2,1,3,6]=>[2,4,1,5,3,6]
[[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6]
[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[3,4,2,1,5,6]=>[4,1,3,2,5,6]=>[4,3,1,2,5,6]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]
[[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6]
[[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]
[[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[2,3,4,6,7,5,1]=>[7,1,2,3,4,6,5]=>[7,1,2,3,6,4,5]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[2,3,4,7,6,5,1]=>[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[2,3,5,6,4,7,1]=>[7,1,2,3,5,4,6]=>[7,1,2,5,3,4,6]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[2,3,5,7,4,6,1]=>[6,7,1,2,3,5,4]=>[7,1,2,5,3,6,4]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[2,3,6,5,7,4,1]=>[7,1,2,3,6,4,5]=>[7,1,2,6,4,3,5]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[2,3,6,7,4,5,1]=>[7,1,2,3,6,5,4]=>[7,1,2,5,6,3,4]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[2,3,7,5,6,4,1]=>[6,4,5,7,1,2,3]=>[7,1,2,6,4,5,3]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[2,3,7,6,5,4,1]=>[5,6,4,7,1,2,3]=>[7,1,2,6,5,4,3]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[2,3,7,6,4,5,1]=>[6,5,4,7,1,2,3]=>[7,1,2,5,6,4,3]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1]=>[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1]=>[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[2,4,5,3,6,7,1]=>[7,1,2,4,3,5,6]=>[7,1,4,2,3,5,6]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[2,4,5,3,7,6,1]=>[6,7,1,2,4,3,5]=>[7,1,4,2,3,6,5]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[2,4,6,3,7,5,1]=>[7,1,2,4,3,6,5]=>[7,1,4,2,6,3,5]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[2,4,7,3,6,5,1]=>[6,5,7,1,2,4,3]=>[7,1,4,2,6,5,3]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[2,4,7,3,5,6,1]=>[5,6,7,1,2,4,3]=>[7,1,4,2,5,6,3]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]=>[7,1,2,5,3,4,6]=>[7,1,5,3,2,4,6]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[2,5,4,7,3,6,1]=>[6,7,1,2,5,3,4]=>[7,1,5,3,2,6,4]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]=>[7,1,2,5,4,3,6]=>[7,1,4,5,2,3,6]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[2,5,7,3,4,6,1]=>[6,7,1,2,5,4,3]=>[7,1,4,5,2,6,3]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[2,6,4,5,7,3,1]=>[7,1,2,6,3,4,5]=>[7,1,6,3,4,2,5]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[2,6,5,7,4,3,1]=>[7,1,2,6,3,5,4]=>[7,1,6,5,3,2,4]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[2,6,5,3,7,4,1]=>[7,1,2,6,4,3,5]=>[7,1,4,6,3,2,5]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[2,6,4,7,3,5,1]=>[7,1,2,6,5,3,4]=>[7,1,5,3,6,2,4]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[2,6,7,3,4,5,1]=>[7,1,2,6,5,4,3]=>[7,1,4,5,6,2,3]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[2,7,4,5,6,3,1]=>[6,3,4,5,7,1,2]=>[7,1,6,3,4,5,2]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[2,7,4,6,5,3,1]=>[5,6,3,4,7,1,2]=>[7,1,6,3,5,4,2]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[2,7,5,6,4,3,1]=>[6,3,5,4,7,1,2]=>[7,1,6,5,3,4,2]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1]=>[5,4,6,3,7,1,2]=>[7,1,6,5,4,3,2]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[2,7,6,4,5,3,1]=>[4,5,6,3,7,1,2]=>[7,1,6,4,5,3,2]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[2,7,5,3,6,4,1]=>[6,4,3,5,7,1,2]=>[7,1,4,6,3,5,2]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[2,7,6,3,5,4,1]=>[5,6,4,3,7,1,2]=>[7,1,4,6,5,3,2]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[2,7,4,6,3,5,1]=>[6,5,3,4,7,1,2]=>[7,1,5,3,6,4,2]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[2,7,6,3,4,5,1]=>[6,5,4,3,7,1,2]=>[7,1,4,5,6,3,2]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[2,7,4,5,3,6,1]=>[5,3,4,6,7,1,2]=>[7,1,5,3,4,6,2]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[2,7,5,4,3,6,1]=>[4,5,3,6,7,1,2]=>[7,1,5,4,3,6,2]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[2,7,5,3,4,6,1]=>[5,4,3,6,7,1,2]=>[7,1,4,5,3,6,2]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[2,7,4,3,5,6,1]=>[4,3,5,6,7,1,2]=>[7,1,4,3,5,6,2]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1]=>[3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1]=>[7,1,3,2,4,5,6]=>[7,3,1,2,4,5,6]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[3,4,2,5,7,6,1]=>[6,7,1,3,2,4,5]=>[7,3,1,2,4,6,5]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[3,4,2,6,7,5,1]=>[7,1,3,2,4,6,5]=>[7,3,1,2,6,4,5]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[3,4,2,7,6,5,1]=>[6,5,7,1,3,2,4]=>[7,3,1,2,6,5,4]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[3,4,2,7,5,6,1]=>[5,6,7,1,3,2,4]=>[7,3,1,2,5,6,4]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[3,5,2,6,4,7,1]=>[7,1,3,2,5,4,6]=>[7,3,1,5,2,4,6]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[3,5,2,7,4,6,1]=>[6,7,1,3,2,5,4]=>[7,3,1,5,2,6,4]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[3,6,2,5,7,4,1]=>[7,1,3,2,6,4,5]=>[7,3,1,6,4,2,5]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[3,6,2,7,4,5,1]=>[7,1,3,2,6,5,4]=>[7,3,1,5,6,2,4]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[3,7,2,5,6,4,1]=>[6,4,5,7,1,3,2]=>[7,3,1,6,4,5,2]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[3,7,2,6,5,4,1]=>[5,6,4,7,1,3,2]=>[7,3,1,6,5,4,2]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[3,7,2,6,4,5,1]=>[6,5,4,7,1,3,2]=>[7,3,1,5,6,4,2]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[3,7,2,5,4,6,1]=>[5,4,6,7,1,3,2]=>[7,3,1,5,4,6,2]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[3,7,2,4,5,6,1]=>[4,5,6,7,1,3,2]=>[7,3,1,4,5,6,2]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1]=>[7,1,4,2,3,5,6]=>[7,4,2,1,3,5,6]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[4,3,5,2,7,6,1]=>[6,7,1,4,2,3,5]=>[7,4,2,1,3,6,5]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[4,3,6,2,7,5,1]=>[7,1,4,2,3,6,5]=>[7,4,2,1,6,3,5]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[4,3,7,2,6,5,1]=>[6,5,7,1,4,2,3]=>[7,4,2,1,6,5,3]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[4,3,7,2,5,6,1]=>[5,6,7,1,4,2,3]=>[7,4,2,1,5,6,3]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[4,5,2,3,6,7,1]=>[7,1,4,3,2,5,6]=>[7,3,4,1,2,5,6]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[4,5,2,3,7,6,1]=>[6,7,1,4,3,2,5]=>[7,3,4,1,2,6,5]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[4,6,2,3,7,5,1]=>[7,1,4,3,2,6,5]=>[7,3,4,1,6,2,5]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[4,7,2,3,6,5,1]=>[6,5,7,1,4,3,2]=>[7,3,4,1,6,5,2]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[4,7,2,3,5,6,1]=>[5,6,7,1,4,3,2]=>[7,3,4,1,5,6,2]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[5,3,4,6,2,7,1]=>[7,1,5,2,3,4,6]=>[7,5,2,3,1,4,6]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[5,3,4,7,2,6,1]=>[6,7,1,5,2,3,4]=>[7,5,2,3,1,6,4]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[5,4,6,3,2,7,1]=>[7,1,5,2,4,3,6]=>[7,5,4,2,1,3,6]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[5,4,7,3,2,6,1]=>[6,7,1,5,2,4,3]=>[7,5,4,2,1,6,3]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[5,4,2,6,3,7,1]=>[7,1,5,3,2,4,6]=>[7,3,5,2,1,4,6]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[5,4,2,7,3,6,1]=>[6,7,1,5,3,2,4]=>[7,3,5,2,1,6,4]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[5,3,6,2,4,7,1]=>[7,1,5,4,2,3,6]=>[7,4,2,5,1,3,6]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[5,3,7,2,4,6,1]=>[6,7,1,5,4,2,3]=>[7,4,2,5,1,6,3]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[5,6,2,3,4,7,1]=>[7,1,5,4,3,2,6]=>[7,3,4,5,1,2,6]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[5,7,2,3,4,6,1]=>[6,7,1,5,4,3,2]=>[7,3,4,5,1,6,2]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]=>[7,1,6,2,3,4,5]=>[7,6,2,3,4,1,5]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[6,3,5,7,4,2,1]=>[7,1,6,2,3,5,4]=>[7,6,2,5,3,1,4]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]=>[7,1,6,2,4,3,5]=>[7,6,4,2,3,1,5]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[6,5,4,7,3,2,1]=>[7,1,6,2,5,3,4]=>[7,6,5,3,2,1,4]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[6,5,7,3,4,2,1]=>[7,1,6,2,5,4,3]=>[7,6,4,5,2,1,3]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[6,4,2,5,7,3,1]=>[7,1,6,3,2,4,5]=>[7,3,6,2,4,1,5]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[6,5,2,7,4,3,1]=>[7,1,6,3,2,5,4]=>[7,3,6,5,2,1,4]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[6,3,5,2,7,4,1]=>[7,1,6,4,2,3,5]=>[7,4,2,6,3,1,5]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[6,5,2,3,7,4,1]=>[7,1,6,4,3,2,5]=>[7,3,4,6,2,1,5]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]=>[7,1,6,5,2,3,4]=>[7,5,2,3,6,1,4]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[6,4,7,3,2,5,1]=>[7,1,6,5,2,4,3]=>[7,5,4,2,6,1,3]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[6,4,2,7,3,5,1]=>[7,1,6,5,3,2,4]=>[7,3,5,2,6,1,4]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[6,3,7,2,4,5,1]=>[7,1,6,5,4,2,3]=>[7,4,2,5,6,1,3]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[6,7,2,3,4,5,1]=>[7,1,6,5,4,3,2]=>[7,3,4,5,6,1,2]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[7,3,4,5,6,2,1]=>[6,2,3,4,5,7,1]=>[7,6,2,3,4,5,1]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[7,3,4,6,5,2,1]=>[5,6,2,3,4,7,1]=>[7,6,2,3,5,4,1]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[7,3,5,6,4,2,1]=>[6,2,3,5,4,7,1]=>[7,6,2,5,3,4,1]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[7,3,6,5,4,2,1]=>[5,4,6,2,3,7,1]=>[7,6,2,5,4,3,1]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[7,3,6,4,5,2,1]=>[4,5,6,2,3,7,1]=>[7,6,2,4,5,3,1]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[7,4,5,3,6,2,1]=>[6,2,4,3,5,7,1]=>[7,6,4,2,3,5,1]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[7,4,6,3,5,2,1]=>[5,6,2,4,3,7,1]=>[7,6,4,2,5,3,1]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[7,5,4,6,3,2,1]=>[6,2,5,3,4,7,1]=>[7,6,5,3,2,4,1]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[7,5,6,3,4,2,1]=>[6,2,5,4,3,7,1]=>[7,6,4,5,2,3,1]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[7,6,4,5,3,2,1]=>[5,3,4,6,2,7,1]=>[7,6,5,3,4,2,1]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[7,6,5,3,4,2,1]=>[5,4,3,6,2,7,1]=>[7,6,4,5,3,2,1]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[7,4,2,5,6,3,1]=>[6,3,2,4,5,7,1]=>[7,3,6,2,4,5,1]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[7,4,2,6,5,3,1]=>[5,6,3,2,4,7,1]=>[7,3,6,2,5,4,1]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[7,5,2,6,4,3,1]=>[6,3,2,5,4,7,1]=>[7,3,6,5,2,4,1]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[7,6,2,5,4,3,1]=>[5,4,6,3,2,7,1]=>[7,3,6,5,4,2,1]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[7,6,2,4,5,3,1]=>[4,5,6,3,2,7,1]=>[7,3,6,4,5,2,1]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[7,3,5,2,6,4,1]=>[6,4,2,3,5,7,1]=>[7,4,2,6,3,5,1]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[7,3,6,2,5,4,1]=>[5,6,4,2,3,7,1]=>[7,4,2,6,5,3,1]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[7,5,2,3,6,4,1]=>[6,4,3,2,5,7,1]=>[7,3,4,6,2,5,1]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[7,6,2,3,5,4,1]=>[5,6,4,3,2,7,1]=>[7,3,4,6,5,2,1]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[7,3,4,6,2,5,1]=>[6,5,2,3,4,7,1]=>[7,5,2,3,6,4,1]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[7,4,6,3,2,5,1]=>[6,5,2,4,3,7,1]=>[7,5,4,2,6,3,1]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[7,4,2,6,3,5,1]=>[6,5,3,2,4,7,1]=>[7,3,5,2,6,4,1]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[7,3,6,2,4,5,1]=>[6,5,4,2,3,7,1]=>[7,4,2,5,6,3,1]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[7,6,2,3,4,5,1]=>[6,5,4,3,2,7,1]=>[7,3,4,5,6,2,1]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1]=>[5,2,3,4,6,7,1]=>[7,5,2,3,4,6,1]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[7,3,5,4,2,6,1]=>[4,5,2,3,6,7,1]=>[7,5,2,4,3,6,1]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[7,4,5,3,2,6,1]=>[5,2,4,3,6,7,1]=>[7,5,4,2,3,6,1]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[7,4,2,5,3,6,1]=>[5,3,2,4,6,7,1]=>[7,3,5,2,4,6,1]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[7,5,2,4,3,6,1]=>[4,5,3,2,6,7,1]=>[7,3,5,4,2,6,1]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[7,3,5,2,4,6,1]=>[5,4,2,3,6,7,1]=>[7,4,2,5,3,6,1]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[7,5,2,3,4,6,1]=>[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[7,3,4,2,5,6,1]=>[4,2,3,5,6,7,1]=>[7,4,2,3,5,6,1]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[7,4,2,3,5,6,1]=>[4,3,2,5,6,7,1]=>[7,3,4,2,5,6,1]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2]=>[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[3,1,4,5,7,6,2]=>[6,7,2,1,3,4,5]=>[2,7,1,3,4,6,5]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[3,1,4,6,7,5,2]=>[7,2,1,3,4,6,5]=>[2,7,1,3,6,4,5]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[3,1,4,7,6,5,2]=>[6,5,7,2,1,3,4]=>[2,7,1,3,6,5,4]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[3,1,4,7,5,6,2]=>[5,6,7,2,1,3,4]=>[2,7,1,3,5,6,4]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[3,1,5,6,4,7,2]=>[7,2,1,3,5,4,6]=>[2,7,1,5,3,4,6]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[3,1,5,7,4,6,2]=>[6,7,2,1,3,5,4]=>[2,7,1,5,3,6,4]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[3,1,6,5,7,4,2]=>[7,2,1,3,6,4,5]=>[2,7,1,6,4,3,5]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[3,1,6,7,4,5,2]=>[7,2,1,3,6,5,4]=>[2,7,1,5,6,3,4]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[3,1,7,5,6,4,2]=>[6,4,5,7,2,1,3]=>[2,7,1,6,4,5,3]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[3,1,7,6,5,4,2]=>[5,6,4,7,2,1,3]=>[2,7,1,6,5,4,3]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[3,1,7,6,4,5,2]=>[6,5,4,7,2,1,3]=>[2,7,1,5,6,4,3]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[3,1,7,5,4,6,2]=>[5,4,6,7,2,1,3]=>[2,7,1,5,4,6,3]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[3,1,7,4,5,6,2]=>[4,5,6,7,2,1,3]=>[2,7,1,4,5,6,3]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[4,1,5,3,6,7,2]=>[7,2,1,4,3,5,6]=>[2,7,4,1,3,5,6]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[4,1,5,3,7,6,2]=>[6,7,2,1,4,3,5]=>[2,7,4,1,3,6,5]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[4,1,6,3,7,5,2]=>[7,2,1,4,3,6,5]=>[2,7,4,1,6,3,5]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[4,1,7,3,6,5,2]=>[6,5,7,2,1,4,3]=>[2,7,4,1,6,5,3]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[4,1,7,3,5,6,2]=>[5,6,7,2,1,4,3]=>[2,7,4,1,5,6,3]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[5,1,4,6,3,7,2]=>[7,2,1,5,3,4,6]=>[2,7,5,3,1,4,6]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[5,1,4,7,3,6,2]=>[6,7,2,1,5,3,4]=>[2,7,5,3,1,6,4]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[5,1,6,3,4,7,2]=>[7,2,1,5,4,3,6]=>[2,7,4,5,1,3,6]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[5,1,7,3,4,6,2]=>[6,7,2,1,5,4,3]=>[2,7,4,5,1,6,3]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[6,1,4,5,7,3,2]=>[7,2,1,6,3,4,5]=>[2,7,6,3,4,1,5]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[6,1,5,7,4,3,2]=>[7,2,1,6,3,5,4]=>[2,7,6,5,3,1,4]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[6,1,5,3,7,4,2]=>[7,2,1,6,4,3,5]=>[2,7,4,6,3,1,5]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[6,1,4,7,3,5,2]=>[7,2,1,6,5,3,4]=>[2,7,5,3,6,1,4]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[6,1,7,3,4,5,2]=>[7,2,1,6,5,4,3]=>[2,7,4,5,6,1,3]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[7,1,4,5,6,3,2]=>[6,3,4,5,7,2,1]=>[2,7,6,3,4,5,1]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[7,1,4,6,5,3,2]=>[5,6,3,4,7,2,1]=>[2,7,6,3,5,4,1]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[7,1,5,6,4,3,2]=>[6,3,5,4,7,2,1]=>[2,7,6,5,3,4,1]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[7,1,6,5,4,3,2]=>[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[7,1,6,4,5,3,2]=>[4,5,6,3,7,2,1]=>[2,7,6,4,5,3,1]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[7,1,5,3,6,4,2]=>[6,4,3,5,7,2,1]=>[2,7,4,6,3,5,1]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[7,1,6,3,5,4,2]=>[5,6,4,3,7,2,1]=>[2,7,4,6,5,3,1]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[7,1,4,6,3,5,2]=>[6,5,3,4,7,2,1]=>[2,7,5,3,6,4,1]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[7,1,6,3,4,5,2]=>[6,5,4,3,7,2,1]=>[2,7,4,5,6,3,1]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[7,1,4,5,3,6,2]=>[5,3,4,6,7,2,1]=>[2,7,5,3,4,6,1]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[7,1,5,4,3,6,2]=>[4,5,3,6,7,2,1]=>[2,7,5,4,3,6,1]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[7,1,5,3,4,6,2]=>[5,4,3,6,7,2,1]=>[2,7,4,5,3,6,1]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[7,1,4,3,5,6,2]=>[4,3,5,6,7,2,1]=>[2,7,4,3,5,6,1]
[[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2]=>[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3]=>[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[2,4,1,5,7,6,3]=>[6,7,3,1,2,4,5]=>[3,1,7,2,4,6,5]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[2,4,1,6,7,5,3]=>[7,3,1,2,4,6,5]=>[3,1,7,2,6,4,5]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[2,4,1,7,6,5,3]=>[6,5,7,3,1,2,4]=>[3,1,7,2,6,5,4]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[2,4,1,7,5,6,3]=>[5,6,7,3,1,2,4]=>[3,1,7,2,5,6,4]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[2,5,1,6,4,7,3]=>[7,3,1,2,5,4,6]=>[3,1,7,5,2,4,6]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[2,5,1,7,4,6,3]=>[6,7,3,1,2,5,4]=>[3,1,7,5,2,6,4]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[2,6,1,5,7,4,3]=>[7,3,1,2,6,4,5]=>[3,1,7,6,4,2,5]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[2,6,1,7,4,5,3]=>[7,3,1,2,6,5,4]=>[3,1,7,5,6,2,4]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[2,7,1,5,6,4,3]=>[6,4,5,7,3,1,2]=>[3,1,7,6,4,5,2]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[2,7,1,6,5,4,3]=>[5,6,4,7,3,1,2]=>[3,1,7,6,5,4,2]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[2,7,1,6,4,5,3]=>[6,5,4,7,3,1,2]=>[3,1,7,5,6,4,2]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[2,7,1,5,4,6,3]=>[5,4,6,7,3,1,2]=>[3,1,7,5,4,6,2]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[2,7,1,4,5,6,3]=>[4,5,6,7,3,1,2]=>[3,1,7,4,5,6,2]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3]=>[7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[4,1,2,5,7,6,3]=>[6,7,3,2,1,4,5]=>[2,3,7,1,4,6,5]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[4,1,2,6,7,5,3]=>[7,3,2,1,4,6,5]=>[2,3,7,1,6,4,5]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[4,1,2,7,6,5,3]=>[6,5,7,3,2,1,4]=>[2,3,7,1,6,5,4]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[4,1,2,7,5,6,3]=>[5,6,7,3,2,1,4]=>[2,3,7,1,5,6,4]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[5,1,2,6,4,7,3]=>[7,3,2,1,5,4,6]=>[2,3,7,5,1,4,6]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[5,1,2,7,4,6,3]=>[6,7,3,2,1,5,4]=>[2,3,7,5,1,6,4]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[6,1,2,5,7,4,3]=>[7,3,2,1,6,4,5]=>[2,3,7,6,4,1,5]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[6,1,2,7,4,5,3]=>[7,3,2,1,6,5,4]=>[2,3,7,5,6,1,4]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[7,1,2,5,6,4,3]=>[6,4,5,7,3,2,1]=>[2,3,7,6,4,5,1]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[7,1,2,6,5,4,3]=>[5,6,4,7,3,2,1]=>[2,3,7,6,5,4,1]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[7,1,2,6,4,5,3]=>[6,5,4,7,3,2,1]=>[2,3,7,5,6,4,1]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3]=>[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1]
[[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3]=>[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4]=>[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[2,3,5,1,7,6,4]=>[6,7,4,1,2,3,5]=>[4,1,2,7,3,6,5]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[2,3,6,1,7,5,4]=>[7,4,1,2,3,6,5]=>[4,1,2,7,6,3,5]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[2,3,7,1,6,5,4]=>[6,5,7,4,1,2,3]=>[4,1,2,7,6,5,3]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[2,3,7,1,5,6,4]=>[5,6,7,4,1,2,3]=>[4,1,2,7,5,6,3]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[3,5,2,1,6,7,4]=>[7,4,1,3,2,5,6]=>[4,3,1,7,2,5,6]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[3,5,2,1,7,6,4]=>[6,7,4,1,3,2,5]=>[4,3,1,7,2,6,5]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[3,6,2,1,7,5,4]=>[7,4,1,3,2,6,5]=>[4,3,1,7,6,2,5]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[3,7,2,1,6,5,4]=>[6,5,7,4,1,3,2]=>[4,3,1,7,6,5,2]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[3,7,2,1,5,6,4]=>[5,6,7,4,1,3,2]=>[4,3,1,7,5,6,2]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[3,1,5,2,6,7,4]=>[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[3,1,5,2,7,6,4]=>[6,7,4,2,1,3,5]=>[2,4,1,7,3,6,5]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[3,1,6,2,7,5,4]=>[7,4,2,1,3,6,5]=>[2,4,1,7,6,3,5]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[3,1,7,2,6,5,4]=>[6,5,7,4,2,1,3]=>[2,4,1,7,6,5,3]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[3,1,7,2,5,6,4]=>[5,6,7,4,2,1,3]=>[2,4,1,7,5,6,3]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[2,5,1,3,6,7,4]=>[7,4,3,1,2,5,6]=>[3,1,4,7,2,5,6]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[2,5,1,3,7,6,4]=>[6,7,4,3,1,2,5]=>[3,1,4,7,2,6,5]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[2,6,1,3,7,5,4]=>[7,4,3,1,2,6,5]=>[3,1,4,7,6,2,5]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[2,7,1,3,6,5,4]=>[6,5,7,4,3,1,2]=>[3,1,4,7,6,5,2]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[2,7,1,3,5,6,4]=>[5,6,7,4,3,1,2]=>[3,1,4,7,5,6,2]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4]=>[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4]=>[6,7,4,3,2,1,5]=>[2,3,4,7,1,6,5]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4]=>[7,4,3,2,1,6,5]=>[2,3,4,7,6,1,5]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4]=>[6,5,7,4,3,2,1]=>[2,3,4,7,6,5,1]
[[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5]=>[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[2,3,4,7,1,6,5]=>[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[2,4,6,3,1,7,5]=>[7,5,1,2,4,3,6]=>[5,1,4,2,7,3,6]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[2,4,7,3,1,6,5]=>[6,7,5,1,2,4,3]=>[5,1,4,2,7,6,3]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[3,4,2,6,1,7,5]=>[7,5,1,3,2,4,6]=>[5,3,1,2,7,4,6]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[3,4,2,7,1,6,5]=>[6,7,5,1,3,2,4]=>[5,3,1,2,7,6,4]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[4,3,6,2,1,7,5]=>[7,5,1,4,2,3,6]=>[5,4,2,1,7,3,6]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[4,3,7,2,1,6,5]=>[6,7,5,1,4,2,3]=>[5,4,2,1,7,6,3]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[4,6,2,3,1,7,5]=>[7,5,1,4,3,2,6]=>[5,3,4,1,7,2,6]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[4,7,2,3,1,6,5]=>[6,7,5,1,4,3,2]=>[5,3,4,1,7,6,2]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[3,1,4,6,2,7,5]=>[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[3,1,4,7,2,6,5]=>[6,7,5,2,1,3,4]=>[2,5,1,3,7,6,4]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[4,1,6,3,2,7,5]=>[7,5,2,1,4,3,6]=>[2,5,4,1,7,3,6]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[4,1,7,3,2,6,5]=>[6,7,5,2,1,4,3]=>[2,5,4,1,7,6,3]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[2,4,1,6,3,7,5]=>[7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[2,4,1,7,3,6,5]=>[6,7,5,3,1,2,4]=>[3,1,5,2,7,6,4]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[4,1,2,6,3,7,5]=>[7,5,3,2,1,4,6]=>[2,3,5,1,7,4,6]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[4,1,2,7,3,6,5]=>[6,7,5,3,2,1,4]=>[2,3,5,1,7,6,4]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[2,3,6,1,4,7,5]=>[7,5,4,1,2,3,6]=>[4,1,2,5,7,3,6]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[2,3,7,1,4,6,5]=>[6,7,5,4,1,2,3]=>[4,1,2,5,7,6,3]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[3,6,2,1,4,7,5]=>[7,5,4,1,3,2,6]=>[4,3,1,5,7,2,6]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[3,7,2,1,4,6,5]=>[6,7,5,4,1,3,2]=>[4,3,1,5,7,6,2]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[3,1,6,2,4,7,5]=>[7,5,4,2,1,3,6]=>[2,4,1,5,7,3,6]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[3,1,7,2,4,6,5]=>[6,7,5,4,2,1,3]=>[2,4,1,5,7,6,3]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[2,6,1,3,4,7,5]=>[7,5,4,3,1,2,6]=>[3,1,4,5,7,2,6]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[2,7,1,3,4,6,5]=>[6,7,5,4,3,1,2]=>[3,1,4,5,7,6,2]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5]=>[7,5,4,3,2,1,6]=>[2,3,4,5,7,1,6]
[[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]=>[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[2,3,4,5,7,1,6]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[2,3,5,7,4,1,6]=>[7,6,1,2,3,5,4]=>[6,1,2,5,3,7,4]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[2,4,5,3,7,1,6]=>[7,6,1,2,4,3,5]=>[6,1,4,2,3,7,5]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[2,5,4,7,3,1,6]=>[7,6,1,2,5,3,4]=>[6,1,5,3,2,7,4]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[2,5,7,3,4,1,6]=>[7,6,1,2,5,4,3]=>[6,1,4,5,2,7,3]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[3,4,2,5,7,1,6]=>[7,6,1,3,2,4,5]=>[6,3,1,2,4,7,5]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[3,5,2,7,4,1,6]=>[7,6,1,3,2,5,4]=>[6,3,1,5,2,7,4]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[4,3,5,2,7,1,6]=>[7,6,1,4,2,3,5]=>[6,4,2,1,3,7,5]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[4,5,2,3,7,1,6]=>[7,6,1,4,3,2,5]=>[6,3,4,1,2,7,5]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[5,3,4,7,2,1,6]=>[7,6,1,5,2,3,4]=>[6,5,2,3,1,7,4]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[5,4,7,3,2,1,6]=>[7,6,1,5,2,4,3]=>[6,5,4,2,1,7,3]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[5,4,2,7,3,1,6]=>[7,6,1,5,3,2,4]=>[6,3,5,2,1,7,4]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[5,3,7,2,4,1,6]=>[7,6,1,5,4,2,3]=>[6,4,2,5,1,7,3]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[5,7,2,3,4,1,6]=>[7,6,1,5,4,3,2]=>[6,3,4,5,1,7,2]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[3,1,4,5,7,2,6]=>[7,6,2,1,3,4,5]=>[2,6,1,3,4,7,5]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[3,1,5,7,4,2,6]=>[7,6,2,1,3,5,4]=>[2,6,1,5,3,7,4]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[4,1,5,3,7,2,6]=>[7,6,2,1,4,3,5]=>[2,6,4,1,3,7,5]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[5,1,4,7,3,2,6]=>[7,6,2,1,5,3,4]=>[2,6,5,3,1,7,4]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[5,1,7,3,4,2,6]=>[7,6,2,1,5,4,3]=>[2,6,4,5,1,7,3]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[2,4,1,5,7,3,6]=>[7,6,3,1,2,4,5]=>[3,1,6,2,4,7,5]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[2,5,1,7,4,3,6]=>[7,6,3,1,2,5,4]=>[3,1,6,5,2,7,4]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[4,1,2,5,7,3,6]=>[7,6,3,2,1,4,5]=>[2,3,6,1,4,7,5]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[5,1,2,7,4,3,6]=>[7,6,3,2,1,5,4]=>[2,3,6,5,1,7,4]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[2,3,5,1,7,4,6]=>[7,6,4,1,2,3,5]=>[4,1,2,6,3,7,5]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[3,5,2,1,7,4,6]=>[7,6,4,1,3,2,5]=>[4,3,1,6,2,7,5]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6]=>[7,6,4,2,1,3,5]=>[2,4,1,6,3,7,5]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6]=>[7,6,4,3,1,2,5]=>[3,1,4,6,2,7,5]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6]=>[7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[2,4,7,3,1,5,6]=>[7,6,5,1,2,4,3]=>[5,1,4,2,6,7,3]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[3,4,2,7,1,5,6]=>[7,6,5,1,3,2,4]=>[5,3,1,2,6,7,4]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[4,3,7,2,1,5,6]=>[7,6,5,1,4,2,3]=>[5,4,2,1,6,7,3]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[4,7,2,3,1,5,6]=>[7,6,5,1,4,3,2]=>[5,3,4,1,6,7,2]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[3,1,4,7,2,5,6]=>[7,6,5,2,1,3,4]=>[2,5,1,3,6,7,4]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[4,1,7,3,2,5,6]=>[7,6,5,2,1,4,3]=>[2,5,4,1,6,7,3]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]=>[7,6,5,3,1,2,4]=>[3,1,5,2,6,7,4]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]=>[7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6]=>[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[3,7,2,1,4,5,6]=>[7,6,5,4,1,3,2]=>[4,3,1,5,6,7,2]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]=>[7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2]
[[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[2,3,5,6,4,1,7]=>[6,1,2,3,5,4,7]=>[6,1,2,5,3,4,7]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7]=>[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]=>[6,1,2,4,3,5,7]=>[6,1,4,2,3,5,7]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[2,4,6,3,5,1,7]=>[5,6,1,2,4,3,7]=>[6,1,4,2,5,3,7]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[2,5,4,6,3,1,7]=>[6,1,2,5,3,4,7]=>[6,1,5,3,2,4,7]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[2,5,6,3,4,1,7]=>[6,1,2,5,4,3,7]=>[6,1,4,5,2,3,7]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7]=>[5,3,4,6,1,2,7]=>[6,1,5,3,4,2,7]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7]=>[4,5,3,6,1,2,7]=>[6,1,5,4,3,2,7]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[2,6,5,3,4,1,7]=>[5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7]=>[4,3,5,6,1,2,7]=>[6,1,4,3,5,2,7]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7]=>[3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[3,4,2,5,6,1,7]=>[6,1,3,2,4,5,7]=>[6,3,1,2,4,5,7]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[3,4,2,6,5,1,7]=>[5,6,1,3,2,4,7]=>[6,3,1,2,5,4,7]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[3,5,2,6,4,1,7]=>[6,1,3,2,5,4,7]=>[6,3,1,5,2,4,7]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[3,6,2,5,4,1,7]=>[5,4,6,1,3,2,7]=>[6,3,1,5,4,2,7]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[3,6,2,4,5,1,7]=>[4,5,6,1,3,2,7]=>[6,3,1,4,5,2,7]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[4,3,5,2,6,1,7]=>[6,1,4,2,3,5,7]=>[6,4,2,1,3,5,7]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[4,3,6,2,5,1,7]=>[5,6,1,4,2,3,7]=>[6,4,2,1,5,3,7]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[4,5,2,3,6,1,7]=>[6,1,4,3,2,5,7]=>[6,3,4,1,2,5,7]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[4,6,2,3,5,1,7]=>[5,6,1,4,3,2,7]=>[6,3,4,1,5,2,7]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]=>[6,1,5,2,3,4,7]=>[6,5,2,3,1,4,7]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[5,4,6,3,2,1,7]=>[6,1,5,2,4,3,7]=>[6,5,4,2,1,3,7]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[5,4,2,6,3,1,7]=>[6,1,5,3,2,4,7]=>[6,3,5,2,1,4,7]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[5,3,6,2,4,1,7]=>[6,1,5,4,2,3,7]=>[6,4,2,5,1,3,7]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[5,6,2,3,4,1,7]=>[6,1,5,4,3,2,7]=>[6,3,4,5,1,2,7]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7]=>[5,2,3,4,6,1,7]=>[6,5,2,3,4,1,7]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7]=>[4,5,2,3,6,1,7]=>[6,5,2,4,3,1,7]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[6,4,5,3,2,1,7]=>[5,2,4,3,6,1,7]=>[6,5,4,2,3,1,7]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[6,4,2,5,3,1,7]=>[5,3,2,4,6,1,7]=>[6,3,5,2,4,1,7]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[6,5,2,4,3,1,7]=>[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[6,3,5,2,4,1,7]=>[5,4,2,3,6,1,7]=>[6,4,2,5,3,1,7]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[6,5,2,3,4,1,7]=>[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7]=>[4,2,3,5,6,1,7]=>[6,4,2,3,5,1,7]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[6,4,2,3,5,1,7]=>[4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7]=>[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[3,1,4,6,5,2,7]=>[5,6,2,1,3,4,7]=>[2,6,1,3,5,4,7]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[3,1,5,6,4,2,7]=>[6,2,1,3,5,4,7]=>[2,6,1,5,3,4,7]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[3,1,6,5,4,2,7]=>[5,4,6,2,1,3,7]=>[2,6,1,5,4,3,7]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[3,1,6,4,5,2,7]=>[4,5,6,2,1,3,7]=>[2,6,1,4,5,3,7]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[4,1,5,3,6,2,7]=>[6,2,1,4,3,5,7]=>[2,6,4,1,3,5,7]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7]=>[5,6,2,1,4,3,7]=>[2,6,4,1,5,3,7]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[5,1,4,6,3,2,7]=>[6,2,1,5,3,4,7]=>[2,6,5,3,1,4,7]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[5,1,6,3,4,2,7]=>[6,2,1,5,4,3,7]=>[2,6,4,5,1,3,7]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7]=>[5,3,4,6,2,1,7]=>[2,6,5,3,4,1,7]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[6,1,5,4,3,2,7]=>[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[6,1,5,3,4,2,7]=>[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[6,1,4,3,5,2,7]=>[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7]
[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7]=>[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[2,4,1,5,6,3,7]=>[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[2,4,1,6,5,3,7]=>[5,6,3,1,2,4,7]=>[3,1,6,2,5,4,7]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[2,5,1,6,4,3,7]=>[6,3,1,2,5,4,7]=>[3,1,6,5,2,4,7]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[2,6,1,5,4,3,7]=>[5,4,6,3,1,2,7]=>[3,1,6,5,4,2,7]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[2,6,1,4,5,3,7]=>[4,5,6,3,1,2,7]=>[3,1,6,4,5,2,7]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7]=>[6,3,2,1,4,5,7]=>[2,3,6,1,4,5,7]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[4,1,2,6,5,3,7]=>[5,6,3,2,1,4,7]=>[2,3,6,1,5,4,7]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[5,1,2,6,4,3,7]=>[6,3,2,1,5,4,7]=>[2,3,6,5,1,4,7]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7]=>[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7]
[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[2,3,5,1,6,4,7]=>[6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[2,3,6,1,5,4,7]=>[5,6,4,1,2,3,7]=>[4,1,2,6,5,3,7]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[3,5,2,1,6,4,7]=>[6,4,1,3,2,5,7]=>[4,3,1,6,2,5,7]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[3,6,2,1,5,4,7]=>[5,6,4,1,3,2,7]=>[4,3,1,6,5,2,7]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[3,1,5,2,6,4,7]=>[6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[3,1,6,2,5,4,7]=>[5,6,4,2,1,3,7]=>[2,4,1,6,5,3,7]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[2,5,1,3,6,4,7]=>[6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[2,6,1,3,5,4,7]=>[5,6,4,3,1,2,7]=>[3,1,4,6,5,2,7]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7]=>[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7]
[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]=>[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7]=>[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[2,4,6,3,1,5,7]=>[6,5,1,2,4,3,7]=>[5,1,4,2,6,3,7]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[3,4,2,6,1,5,7]=>[6,5,1,3,2,4,7]=>[5,3,1,2,6,4,7]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[4,3,6,2,1,5,7]=>[6,5,1,4,2,3,7]=>[5,4,2,1,6,3,7]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[4,6,2,3,1,5,7]=>[6,5,1,4,3,2,7]=>[5,3,4,1,6,2,7]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7]=>[6,5,2,1,3,4,7]=>[2,5,1,3,6,4,7]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[4,1,6,3,2,5,7]=>[6,5,2,1,4,3,7]=>[2,5,4,1,6,3,7]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7]=>[6,5,3,1,2,4,7]=>[3,1,5,2,6,4,7]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7]=>[6,5,3,2,1,4,7]=>[2,3,5,1,6,4,7]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[2,3,6,1,4,5,7]=>[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[3,6,2,1,4,5,7]=>[6,5,4,1,3,2,7]=>[4,3,1,5,6,2,7]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]=>[6,5,4,2,1,3,7]=>[2,4,1,5,6,3,7]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]=>[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7]
[[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[2,4,5,3,1,6,7]=>[5,1,2,4,3,6,7]=>[5,1,4,2,3,6,7]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7]=>[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7]=>[3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[3,4,2,5,1,6,7]=>[5,1,3,2,4,6,7]=>[5,3,1,2,4,6,7]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[3,5,2,4,1,6,7]=>[4,5,1,3,2,6,7]=>[5,3,1,4,2,6,7]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]=>[5,1,4,2,3,6,7]=>[5,4,2,1,3,6,7]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[4,5,2,3,1,6,7]=>[5,1,4,3,2,6,7]=>[5,3,4,1,2,6,7]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7]=>[4,2,3,5,1,6,7]=>[5,4,2,3,1,6,7]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[5,4,2,3,1,6,7]=>[4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7]=>[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[3,1,5,4,2,6,7]=>[4,5,2,1,3,6,7]=>[2,5,1,4,3,6,7]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[4,1,5,3,2,6,7]=>[5,2,1,4,3,6,7]=>[2,5,4,1,3,6,7]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7]=>[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7]
[[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7]=>[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[2,4,1,5,3,6,7]=>[5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[2,5,1,4,3,6,7]=>[4,5,3,1,2,6,7]=>[3,1,5,4,2,6,7]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7]=>[5,3,2,1,4,6,7]=>[2,3,5,1,4,6,7]
[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]=>[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[2,3,5,1,4,6,7]=>[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[3,5,2,1,4,6,7]=>[5,4,1,3,2,6,7]=>[4,3,1,5,2,6,7]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7]=>[5,4,2,1,3,6,7]=>[2,4,1,5,3,6,7]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]=>[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7]
[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7]=>[4,1,3,2,5,6,7]=>[4,3,1,2,5,6,7]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]
[[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]=>[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]
[[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]
[[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,1]=>[7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,7,6]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[8,6,7,5,4,3,2,1]=>[2,3,4,5,7,8,6,1]=>[8,1,2,3,4,5,7,6]=>[8,1,2,3,4,7,5,6]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[2,3,4,5,8,7,6,1]=>[7,6,8,1,2,3,4,5]=>[8,1,2,3,4,7,6,5]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,1]=>[6,7,8,1,2,3,4,5]=>[8,1,2,3,4,6,7,5]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[2,3,4,6,7,5,8,1]=>[8,1,2,3,4,6,5,7]=>[8,1,2,3,6,4,5,7]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[7,8,5,6,4,3,2,1]=>[2,3,4,6,8,5,7,1]=>[7,8,1,2,3,4,6,5]=>[8,1,2,3,6,4,7,5]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[8,6,5,7,4,3,2,1]=>[2,3,4,7,6,8,5,1]=>[8,1,2,3,4,7,5,6]=>[8,1,2,3,7,5,4,6]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[2,3,4,7,8,5,6,1]=>[8,1,2,3,4,7,6,5]=>[8,1,2,3,6,7,4,5]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[2,3,4,8,6,7,5,1]=>[7,5,6,8,1,2,3,4]=>[8,1,2,3,7,5,6,4]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[2,3,4,8,7,6,5,1]=>[6,7,5,8,1,2,3,4]=>[8,1,2,3,7,6,5,4]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[2,3,4,8,7,5,6,1]=>[7,6,5,8,1,2,3,4]=>[8,1,2,3,6,7,5,4]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[2,3,4,8,6,5,7,1]=>[6,5,7,8,1,2,3,4]=>[8,1,2,3,6,5,7,4]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[2,3,4,8,5,6,7,1]=>[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]=>[8,1,2,3,5,4,6,7]=>[8,1,2,5,3,4,6,7]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[7,8,6,4,5,3,2,1]=>[2,3,5,6,4,8,7,1]=>[7,8,1,2,3,5,4,6]=>[8,1,2,5,3,4,7,6]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[8,6,7,4,5,3,2,1]=>[2,3,5,7,4,8,6,1]=>[8,1,2,3,5,4,7,6]=>[8,1,2,5,3,7,4,6]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[7,6,8,4,5,3,2,1]=>[2,3,5,8,4,7,6,1]=>[7,6,8,1,2,3,5,4]=>[8,1,2,5,3,7,6,4]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[6,7,8,4,5,3,2,1]=>[2,3,5,8,4,6,7,1]=>[6,7,8,1,2,3,5,4]=>[8,1,2,5,3,6,7,4]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[7,8,5,4,6,3,2,1]=>[2,3,6,5,8,4,7,1]=>[7,8,1,2,3,6,4,5]=>[8,1,2,6,4,3,7,5]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[8,7,4,5,6,3,2,1]=>[2,3,6,7,4,5,8,1]=>[8,1,2,3,6,5,4,7]=>[8,1,2,5,6,3,4,7]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[7,8,4,5,6,3,2,1]=>[2,3,6,8,4,5,7,1]=>[7,8,1,2,3,6,5,4]=>[8,1,2,5,6,3,7,4]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[8,6,5,4,7,3,2,1]=>[2,3,7,5,6,8,4,1]=>[8,1,2,3,7,4,5,6]=>[8,1,2,7,4,5,3,6]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[8,6,4,5,7,3,2,1]=>[2,3,7,6,4,8,5,1]=>[8,1,2,3,7,5,4,6]=>[8,1,2,5,7,4,3,6]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[8,4,5,6,7,3,2,1]=>[2,3,7,8,4,5,6,1]=>[8,1,2,3,7,6,5,4]=>[8,1,2,5,6,7,3,4]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[2,3,8,5,6,7,4,1]=>[7,4,5,6,8,1,2,3]=>[8,1,2,7,4,5,6,3]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[2,3,8,5,7,6,4,1]=>[6,7,4,5,8,1,2,3]=>[8,1,2,7,4,6,5,3]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[2,3,8,6,7,5,4,1]=>[7,4,6,5,8,1,2,3]=>[8,1,2,7,6,4,5,3]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[2,3,8,7,6,5,4,1]=>[6,5,7,4,8,1,2,3]=>[8,1,2,7,6,5,4,3]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[2,3,8,7,5,6,4,1]=>[5,6,7,4,8,1,2,3]=>[8,1,2,7,5,6,4,3]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[2,3,8,6,4,7,5,1]=>[7,5,4,6,8,1,2,3]=>[8,1,2,5,7,4,6,3]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[6,7,4,5,8,3,2,1]=>[2,3,8,7,4,6,5,1]=>[6,7,5,4,8,1,2,3]=>[8,1,2,5,7,6,4,3]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[2,3,8,5,7,4,6,1]=>[7,6,4,5,8,1,2,3]=>[8,1,2,6,4,7,5,3]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[2,3,8,7,4,5,6,1]=>[7,6,5,4,8,1,2,3]=>[8,1,2,5,6,7,4,3]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[2,3,8,5,6,4,7,1]=>[6,4,5,7,8,1,2,3]=>[8,1,2,6,4,5,7,3]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[2,3,8,6,5,4,7,1]=>[5,6,4,7,8,1,2,3]=>[8,1,2,6,5,4,7,3]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[2,3,8,6,4,5,7,1]=>[6,5,4,7,8,1,2,3]=>[8,1,2,5,6,4,7,3]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[2,3,8,5,4,6,7,1]=>[5,4,6,7,8,1,2,3]=>[8,1,2,5,4,6,7,3]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[2,3,8,4,5,6,7,1]=>[4,5,6,7,8,1,2,3]=>[8,1,2,4,5,6,7,3]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[2,4,5,3,6,7,8,1]=>[8,1,2,4,3,5,6,7]=>[8,1,4,2,3,5,6,7]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,3,4,2,1]=>[2,4,5,3,6,8,7,1]=>[7,8,1,2,4,3,5,6]=>[8,1,4,2,3,5,7,6]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,3,4,2,1]=>[2,4,5,3,7,8,6,1]=>[8,1,2,4,3,5,7,6]=>[8,1,4,2,3,7,5,6]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,3,4,2,1]=>[2,4,5,3,8,7,6,1]=>[7,6,8,1,2,4,3,5]=>[8,1,4,2,3,7,6,5]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[6,7,8,5,3,4,2,1]=>[2,4,5,3,8,6,7,1]=>[6,7,8,1,2,4,3,5]=>[8,1,4,2,3,6,7,5]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[2,4,6,3,7,5,8,1]=>[8,1,2,4,3,6,5,7]=>[8,1,4,2,6,3,5,7]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[7,8,5,6,3,4,2,1]=>[2,4,6,3,8,5,7,1]=>[7,8,1,2,4,3,6,5]=>[8,1,4,2,6,3,7,5]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[8,5,6,7,3,4,2,1]=>[2,4,7,3,8,5,6,1]=>[8,1,2,4,3,7,6,5]=>[8,1,4,2,6,7,3,5]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[6,7,5,8,3,4,2,1]=>[2,4,8,3,7,6,5,1]=>[6,7,5,8,1,2,4,3]=>[8,1,4,2,7,6,5,3]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[7,5,6,8,3,4,2,1]=>[2,4,8,3,7,5,6,1]=>[7,6,5,8,1,2,4,3]=>[8,1,4,2,6,7,5,3]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>[6,5,7,8,3,4,2,1]=>[2,4,8,3,6,5,7,1]=>[6,5,7,8,1,2,4,3]=>[8,1,4,2,6,5,7,3]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[2,4,8,3,5,6,7,1]=>[5,6,7,8,1,2,4,3]=>[8,1,4,2,5,6,7,3]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[8,7,6,4,3,5,2,1]=>[2,5,4,6,3,7,8,1]=>[8,1,2,5,3,4,6,7]=>[8,1,5,3,2,4,6,7]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[8,6,7,4,3,5,2,1]=>[2,5,4,7,3,8,6,1]=>[8,1,2,5,3,4,7,6]=>[8,1,5,3,2,7,4,6]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[7,6,8,4,3,5,2,1]=>[2,5,4,8,3,7,6,1]=>[7,6,8,1,2,5,3,4]=>[8,1,5,3,2,7,6,4]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[2,5,4,8,3,6,7,1]=>[6,7,8,1,2,5,3,4]=>[8,1,5,3,2,6,7,4]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[8,7,6,3,4,5,2,1]=>[2,5,6,3,4,7,8,1]=>[8,1,2,5,4,3,6,7]=>[8,1,4,5,2,3,6,7]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[7,8,6,3,4,5,2,1]=>[2,5,6,3,4,8,7,1]=>[7,8,1,2,5,4,3,6]=>[8,1,4,5,2,3,7,6]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[6,7,8,3,4,5,2,1]=>[2,5,8,3,4,6,7,1]=>[6,7,8,1,2,5,4,3]=>[8,1,4,5,2,6,7,3]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]=>[8,1,2,6,3,4,5,7]=>[8,1,6,3,4,2,5,7]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[7,8,5,4,3,6,2,1]=>[2,6,4,5,8,3,7,1]=>[7,8,1,2,6,3,4,5]=>[8,1,6,3,4,2,7,5]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]=>[8,1,2,6,5,3,4,7]=>[8,1,5,3,6,2,4,7]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[7,8,4,3,5,6,2,1]=>[2,6,4,8,3,5,7,1]=>[7,8,1,2,6,5,3,4]=>[8,1,5,3,6,2,7,4]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[7,8,3,4,5,6,2,1]=>[2,6,8,3,4,5,7,1]=>[7,8,1,2,6,5,4,3]=>[8,1,4,5,6,2,7,3]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[8,5,6,4,3,7,2,1]=>[2,7,4,6,8,5,3,1]=>[8,1,2,7,3,4,6,5]=>[8,1,7,3,6,4,2,5]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[8,5,4,6,3,7,2,1]=>[2,7,6,5,8,4,3,1]=>[8,1,2,7,3,6,4,5]=>[8,1,7,6,4,3,2,5]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>[8,5,6,3,4,7,2,1]=>[2,7,6,3,8,5,4,1]=>[8,1,2,7,4,3,6,5]=>[8,1,4,7,6,3,2,5]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[8,6,4,3,5,7,2,1]=>[2,7,4,6,3,8,5,1]=>[8,1,2,7,5,3,4,6]=>[8,1,5,3,7,4,2,6]
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>[8,6,3,4,5,7,2,1]=>[2,7,6,3,4,8,5,1]=>[8,1,2,7,5,4,3,6]=>[8,1,4,5,7,3,2,6]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[8,5,4,3,6,7,2,1]=>[2,7,4,5,8,3,6,1]=>[8,1,2,7,6,3,4,5]=>[8,1,6,3,4,7,2,5]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>[8,3,4,5,6,7,2,1]=>[2,7,8,3,4,5,6,1]=>[8,1,2,7,6,5,4,3]=>[8,1,4,5,6,7,2,3]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[2,8,4,5,6,7,3,1]=>[7,3,4,5,6,8,1,2]=>[8,1,7,3,4,5,6,2]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>[5,6,7,4,3,8,2,1]=>[2,8,4,7,5,6,3,1]=>[5,6,7,3,4,8,1,2]=>[8,1,7,3,5,6,4,2]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[6,7,4,5,3,8,2,1]=>[2,8,5,7,4,6,3,1]=>[6,7,3,5,4,8,1,2]=>[8,1,7,5,3,6,4,2]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[7,5,4,6,3,8,2,1]=>[2,8,6,5,7,4,3,1]=>[7,3,6,4,5,8,1,2]=>[8,1,7,6,4,3,5,2]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[6,5,4,7,3,8,2,1]=>[2,8,7,5,6,4,3,1]=>[6,4,5,7,3,8,1,2]=>[8,1,7,6,4,5,3,2]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[5,6,4,7,3,8,2,1]=>[2,8,7,6,5,4,3,1]=>[5,6,4,7,3,8,1,2]=>[8,1,7,6,5,4,3,2]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[6,4,5,7,3,8,2,1]=>[2,8,7,6,4,5,3,1]=>[6,5,4,7,3,8,1,2]=>[8,1,7,5,6,4,3,2]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[2,8,7,5,4,6,3,1]=>[5,4,6,7,3,8,1,2]=>[8,1,7,5,4,6,3,2]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[2,8,7,4,5,6,3,1]=>[4,5,6,7,3,8,1,2]=>[8,1,7,4,5,6,3,2]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>[6,5,7,3,4,8,2,1]=>[2,8,7,3,6,5,4,1]=>[6,5,7,4,3,8,1,2]=>[8,1,4,7,6,5,3,2]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[7,6,4,3,5,8,2,1]=>[2,8,4,6,3,7,5,1]=>[7,5,3,4,6,8,1,2]=>[8,1,5,3,7,4,6,2]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[7,6,3,4,5,8,2,1]=>[2,8,6,3,4,7,5,1]=>[7,5,4,3,6,8,1,2]=>[8,1,4,5,7,3,6,2]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[7,5,4,3,6,8,2,1]=>[2,8,4,5,7,3,6,1]=>[7,6,3,4,5,8,1,2]=>[8,1,6,3,4,7,5,2]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[7,5,3,4,6,8,2,1]=>[2,8,5,3,7,4,6,1]=>[7,6,4,3,5,8,1,2]=>[8,1,4,6,3,7,5,2]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>[7,4,3,5,6,8,2,1]=>[2,8,4,7,3,5,6,1]=>[7,6,5,3,4,8,1,2]=>[8,1,5,3,6,7,4,2]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>[7,3,4,5,6,8,2,1]=>[2,8,7,3,4,5,6,1]=>[7,6,5,4,3,8,1,2]=>[8,1,4,5,6,7,3,2]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[2,8,4,5,6,3,7,1]=>[6,3,4,5,7,8,1,2]=>[8,1,6,3,4,5,7,2]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]]=>[5,6,4,3,7,8,2,1]=>[2,8,4,6,5,3,7,1]=>[5,6,3,4,7,8,1,2]=>[8,1,6,3,5,4,7,2]
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]]=>[5,4,6,3,7,8,2,1]=>[2,8,6,5,4,3,7,1]=>[5,4,6,3,7,8,1,2]=>[8,1,6,5,4,3,7,2]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>[4,5,6,3,7,8,2,1]=>[2,8,6,4,5,3,7,1]=>[4,5,6,3,7,8,1,2]=>[8,1,6,4,5,3,7,2]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>[6,5,3,4,7,8,2,1]=>[2,8,5,3,6,4,7,1]=>[6,4,3,5,7,8,1,2]=>[8,1,4,6,3,5,7,2]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>[6,4,3,5,7,8,2,1]=>[2,8,4,6,3,5,7,1]=>[6,5,3,4,7,8,1,2]=>[8,1,5,3,6,4,7,2]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[6,3,4,5,7,8,2,1]=>[2,8,6,3,4,5,7,1]=>[6,5,4,3,7,8,1,2]=>[8,1,4,5,6,3,7,2]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>[5,4,3,6,7,8,2,1]=>[2,8,4,5,3,6,7,1]=>[5,3,4,6,7,8,1,2]=>[8,1,5,3,4,6,7,2]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>[4,5,3,6,7,8,2,1]=>[2,8,5,4,3,6,7,1]=>[4,5,3,6,7,8,1,2]=>[8,1,5,4,3,6,7,2]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>[5,3,4,6,7,8,2,1]=>[2,8,5,3,4,6,7,1]=>[5,4,3,6,7,8,1,2]=>[8,1,4,5,3,6,7,2]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[2,8,4,3,5,6,7,1]=>[4,3,5,6,7,8,1,2]=>[8,1,4,3,5,6,7,2]
[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[3,4,5,6,7,8,2,1]=>[2,8,3,4,5,6,7,1]=>[3,4,5,6,7,8,1,2]=>[8,1,3,4,5,6,7,2]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,1]=>[8,1,3,2,4,5,6,7]=>[8,3,1,2,4,5,6,7]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,2,3,1]=>[3,4,2,5,6,8,7,1]=>[7,8,1,3,2,4,5,6]=>[8,3,1,2,4,5,7,6]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[3,4,2,5,7,8,6,1]=>[8,1,3,2,4,5,7,6]=>[8,3,1,2,4,7,5,6]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,2,3,1]=>[3,4,2,5,8,7,6,1]=>[7,6,8,1,3,2,4,5]=>[8,3,1,2,4,7,6,5]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,2,3,1]=>[3,4,2,6,7,5,8,1]=>[8,1,3,2,4,6,5,7]=>[8,3,1,2,6,4,5,7]
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,2,3,1]=>[3,4,2,6,8,5,7,1]=>[7,8,1,3,2,4,6,5]=>[8,3,1,2,6,4,7,5]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,2,3,1]=>[3,4,2,8,6,7,5,1]=>[7,5,6,8,1,3,2,4]=>[8,3,1,2,7,5,6,4]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,2,3,1]=>[3,4,2,8,7,6,5,1]=>[6,7,5,8,1,3,2,4]=>[8,3,1,2,7,6,5,4]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[3,4,2,8,5,6,7,1]=>[5,6,7,8,1,3,2,4]=>[8,3,1,2,5,6,7,4]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[3,5,2,6,4,7,8,1]=>[8,1,3,2,5,4,6,7]=>[8,3,1,5,2,4,6,7]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,2,3,1]=>[3,5,2,6,4,8,7,1]=>[7,8,1,3,2,5,4,6]=>[8,3,1,5,2,4,7,6]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[3,5,2,7,4,8,6,1]=>[8,1,3,2,5,4,7,6]=>[8,3,1,5,2,7,4,6]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[7,6,8,4,5,2,3,1]=>[3,5,2,8,4,7,6,1]=>[7,6,8,1,3,2,5,4]=>[8,3,1,5,2,7,6,4]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,2,3,1]=>[3,5,2,8,4,6,7,1]=>[6,7,8,1,3,2,5,4]=>[8,3,1,5,2,6,7,4]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,2,3,1]=>[3,6,2,7,4,5,8,1]=>[8,1,3,2,6,5,4,7]=>[8,3,1,5,6,2,4,7]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,2,3,1]=>[3,6,2,8,4,5,7,1]=>[7,8,1,3,2,6,5,4]=>[8,3,1,5,6,2,7,4]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,2,3,1]=>[3,7,2,6,8,5,4,1]=>[8,1,3,2,7,4,6,5]=>[8,3,1,7,6,4,2,5]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[8,4,5,6,7,2,3,1]=>[3,7,2,8,4,5,6,1]=>[8,1,3,2,7,6,5,4]=>[8,3,1,5,6,7,2,4]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,2,3,1]=>[3,8,2,5,6,7,4,1]=>[7,4,5,6,8,1,3,2]=>[8,3,1,7,4,5,6,2]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,2,3,1]=>[3,8,2,6,7,5,4,1]=>[7,4,6,5,8,1,3,2]=>[8,3,1,7,6,4,5,2]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,2,3,1]=>[3,8,2,7,6,5,4,1]=>[6,5,7,4,8,1,3,2]=>[8,3,1,7,6,5,4,2]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[7,5,4,6,8,2,3,1]=>[3,8,2,5,7,4,6,1]=>[7,6,4,5,8,1,3,2]=>[8,3,1,6,4,7,5,2]
[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>[7,4,5,6,8,2,3,1]=>[3,8,2,7,4,5,6,1]=>[7,6,5,4,8,1,3,2]=>[8,3,1,5,6,7,4,2]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[5,4,6,7,8,2,3,1]=>[3,8,2,5,4,6,7,1]=>[5,4,6,7,8,1,3,2]=>[8,3,1,5,4,6,7,2]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[3,8,2,4,5,6,7,1]=>[4,5,6,7,8,1,3,2]=>[8,3,1,4,5,6,7,2]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[4,3,5,2,6,7,8,1]=>[8,1,4,2,3,5,6,7]=>[8,4,2,1,3,5,6,7]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,2,4,1]=>[4,3,5,2,6,8,7,1]=>[7,8,1,4,2,3,5,6]=>[8,4,2,1,3,5,7,6]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,2,4,1]=>[4,3,5,2,8,7,6,1]=>[7,6,8,1,4,2,3,5]=>[8,4,2,1,3,7,6,5]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,2,4,1]=>[4,3,5,2,8,6,7,1]=>[6,7,8,1,4,2,3,5]=>[8,4,2,1,3,6,7,5]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,2,4,1]=>[4,3,6,2,7,5,8,1]=>[8,1,4,2,3,6,5,7]=>[8,4,2,1,6,3,5,7]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,2,4,1]=>[4,3,6,2,8,5,7,1]=>[7,8,1,4,2,3,6,5]=>[8,4,2,1,6,3,7,5]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[4,3,7,2,6,8,5,1]=>[8,1,4,2,3,7,5,6]=>[8,4,2,1,7,5,3,6]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,2,4,1]=>[4,3,7,2,8,5,6,1]=>[8,1,4,2,3,7,6,5]=>[8,4,2,1,6,7,3,5]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,2,4,1]=>[4,3,8,2,7,6,5,1]=>[6,7,5,8,1,4,2,3]=>[8,4,2,1,7,6,5,3]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,2,4,1]=>[4,3,8,2,7,5,6,1]=>[7,6,5,8,1,4,2,3]=>[8,4,2,1,6,7,5,3]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,2,4,1]=>[4,3,8,2,6,5,7,1]=>[6,5,7,8,1,4,2,3]=>[8,4,2,1,6,5,7,3]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[4,3,8,2,5,6,7,1]=>[5,6,7,8,1,4,2,3]=>[8,4,2,1,5,6,7,3]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[4,5,2,3,6,7,8,1]=>[8,1,4,3,2,5,6,7]=>[8,3,4,1,2,5,6,7]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[4,5,2,3,8,6,7,1]=>[6,7,8,1,4,3,2,5]=>[8,3,4,1,2,6,7,5]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,2,3,4,1]=>[4,6,2,3,7,5,8,1]=>[8,1,4,3,2,6,5,7]=>[8,3,4,1,6,2,5,7]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,2,3,4,1]=>[4,7,2,3,6,8,5,1]=>[8,1,4,3,2,7,5,6]=>[8,3,4,1,7,5,2,6]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[4,7,2,3,8,5,6,1]=>[8,1,4,3,2,7,6,5]=>[8,3,4,1,6,7,2,5]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,2,3,4,1]=>[4,8,2,3,6,7,5,1]=>[7,5,6,8,1,4,3,2]=>[8,3,4,1,7,5,6,2]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,2,3,4,1]=>[4,8,2,3,7,6,5,1]=>[6,7,5,8,1,4,3,2]=>[8,3,4,1,7,6,5,2]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,2,3,4,1]=>[4,8,2,3,6,5,7,1]=>[6,5,7,8,1,4,3,2]=>[8,3,4,1,6,5,7,2]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[4,8,2,3,5,6,7,1]=>[5,6,7,8,1,4,3,2]=>[8,3,4,1,5,6,7,2]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[5,3,4,6,2,7,8,1]=>[8,1,5,2,3,4,6,7]=>[8,5,2,3,1,4,6,7]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[7,6,8,4,3,2,5,1]=>[5,3,4,8,2,7,6,1]=>[7,6,8,1,5,2,3,4]=>[8,5,2,3,1,7,6,4]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[7,8,6,3,4,2,5,1]=>[5,4,6,3,2,8,7,1]=>[7,8,1,5,2,4,3,6]=>[8,5,4,2,1,3,7,6]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[8,6,7,3,4,2,5,1]=>[5,4,7,3,2,8,6,1]=>[8,1,5,2,4,3,7,6]=>[8,5,4,2,1,7,3,6]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[7,6,8,3,4,2,5,1]=>[5,4,8,3,2,7,6,1]=>[7,6,8,1,5,2,4,3]=>[8,5,4,2,1,7,6,3]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[6,7,8,3,4,2,5,1]=>[5,4,8,3,2,6,7,1]=>[6,7,8,1,5,2,4,3]=>[8,5,4,2,1,6,7,3]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[8,7,6,4,2,3,5,1]=>[5,4,2,6,3,7,8,1]=>[8,1,5,3,2,4,6,7]=>[8,3,5,2,1,4,6,7]
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[7,8,6,4,2,3,5,1]=>[5,4,2,6,3,8,7,1]=>[7,8,1,5,3,2,4,6]=>[8,3,5,2,1,4,7,6]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[8,6,7,4,2,3,5,1]=>[5,4,2,7,3,8,6,1]=>[8,1,5,3,2,4,7,6]=>[8,3,5,2,1,7,4,6]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[8,7,6,3,2,4,5,1]=>[5,3,6,2,4,7,8,1]=>[8,1,5,4,2,3,6,7]=>[8,4,2,5,1,3,6,7]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[7,8,6,3,2,4,5,1]=>[5,3,6,2,4,8,7,1]=>[7,8,1,5,4,2,3,6]=>[8,4,2,5,1,3,7,6]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[5,3,8,2,4,6,7,1]=>[6,7,8,1,5,4,2,3]=>[8,4,2,5,1,6,7,3]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[5,6,2,3,4,7,8,1]=>[8,1,5,4,3,2,6,7]=>[8,3,4,5,1,2,6,7]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[8,6,7,2,3,4,5,1]=>[5,7,2,3,4,8,6,1]=>[8,1,5,4,3,2,7,6]=>[8,3,4,5,1,7,2,6]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[7,6,8,2,3,4,5,1]=>[5,8,2,3,4,7,6,1]=>[7,6,8,1,5,4,3,2]=>[8,3,4,5,1,7,6,2]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[6,7,8,2,3,4,5,1]=>[5,8,2,3,4,6,7,1]=>[6,7,8,1,5,4,3,2]=>[8,3,4,5,1,6,7,2]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[8,7,5,4,3,2,6,1]=>[6,3,4,5,7,2,8,1]=>[8,1,6,2,3,4,5,7]=>[8,6,2,3,4,1,5,7]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[7,8,5,4,3,2,6,1]=>[6,3,4,5,8,2,7,1]=>[7,8,1,6,2,3,4,5]=>[8,6,2,3,4,1,7,5]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[8,7,5,3,4,2,6,1]=>[6,4,5,3,7,2,8,1]=>[8,1,6,2,4,3,5,7]=>[8,6,4,2,3,1,5,7]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[7,8,5,3,4,2,6,1]=>[6,4,5,3,8,2,7,1]=>[7,8,1,6,2,4,3,5]=>[8,6,4,2,3,1,7,5]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[8,7,4,3,5,2,6,1]=>[6,5,4,7,3,2,8,1]=>[8,1,6,2,5,3,4,7]=>[8,6,5,3,2,1,4,7]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[7,8,4,3,5,2,6,1]=>[6,5,4,8,3,2,7,1]=>[7,8,1,6,2,5,3,4]=>[8,6,5,3,2,1,7,4]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[7,8,3,4,5,2,6,1]=>[6,5,8,3,4,2,7,1]=>[7,8,1,6,2,5,4,3]=>[8,6,4,5,2,1,7,3]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[8,7,5,4,2,3,6,1]=>[6,4,2,5,7,3,8,1]=>[8,1,6,3,2,4,5,7]=>[8,3,6,2,4,1,5,7]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,2,3,6,1]=>[6,5,2,8,4,3,7,1]=>[7,8,1,6,3,2,5,4]=>[8,3,6,5,2,1,7,4]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[8,7,5,3,2,4,6,1]=>[6,3,5,2,7,4,8,1]=>[8,1,6,4,2,3,5,7]=>[8,4,2,6,3,1,5,7]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[8,7,4,3,2,5,6,1]=>[6,3,4,7,2,5,8,1]=>[8,1,6,5,2,3,4,7]=>[8,5,2,3,6,1,4,7]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[7,8,4,3,2,5,6,1]=>[6,3,4,8,2,5,7,1]=>[7,8,1,6,5,2,3,4]=>[8,5,2,3,6,1,7,4]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[7,8,3,4,2,5,6,1]=>[6,4,8,3,2,5,7,1]=>[7,8,1,6,5,2,4,3]=>[8,5,4,2,6,1,7,3]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[7,8,4,2,3,5,6,1]=>[6,4,2,8,3,5,7,1]=>[7,8,1,6,5,3,2,4]=>[8,3,5,2,6,1,7,4]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[8,7,2,3,4,5,6,1]=>[6,7,2,3,4,5,8,1]=>[8,1,6,5,4,3,2,7]=>[8,3,4,5,6,1,2,7]
[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[7,8,2,3,4,5,6,1]=>[6,8,2,3,4,5,7,1]=>[7,8,1,6,5,4,3,2]=>[8,3,4,5,6,1,7,2]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]=>[8,1,7,2,3,4,5,6]=>[8,7,2,3,4,5,1,6]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[8,5,4,6,3,2,7,1]=>[7,3,6,5,8,4,2,1]=>[8,1,7,2,3,6,4,5]=>[8,7,2,6,4,3,1,5]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[8,6,5,3,4,2,7,1]=>[7,4,5,3,6,8,2,1]=>[8,1,7,2,4,3,5,6]=>[8,7,4,2,3,5,1,6]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[8,5,6,3,4,2,7,1]=>[7,4,6,3,8,5,2,1]=>[8,1,7,2,4,3,6,5]=>[8,7,4,2,6,3,1,5]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[8,6,4,3,5,2,7,1]=>[7,5,4,6,3,8,2,1]=>[8,1,7,2,5,3,4,6]=>[8,7,5,3,2,4,1,6]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[8,5,4,3,6,2,7,1]=>[7,6,4,5,8,3,2,1]=>[8,1,7,2,6,3,4,5]=>[8,7,6,3,4,2,1,5]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[7,6,5,8,4,3,2,1]=>[8,1,7,2,6,3,5,4]=>[8,7,6,5,3,2,1,4]
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>[8,5,3,4,6,2,7,1]=>[7,6,5,3,8,4,2,1]=>[8,1,7,2,6,4,3,5]=>[8,7,4,6,3,2,1,5]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>[8,3,4,5,6,2,7,1]=>[7,6,8,3,4,5,2,1]=>[8,1,7,2,6,5,4,3]=>[8,7,4,5,6,2,1,3]
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>[8,5,4,6,2,3,7,1]=>[7,6,2,5,8,4,3,1]=>[8,1,7,3,2,6,4,5]=>[8,3,7,6,4,2,1,5]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[8,6,4,3,2,5,7,1]=>[7,3,4,6,2,8,5,1]=>[8,1,7,5,2,3,4,6]=>[8,5,2,3,7,4,1,6]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[8,6,3,4,2,5,7,1]=>[7,4,6,3,2,8,5,1]=>[8,1,7,5,2,4,3,6]=>[8,5,4,2,7,3,1,6]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[8,6,4,2,3,5,7,1]=>[7,4,2,6,3,8,5,1]=>[8,1,7,5,3,2,4,6]=>[8,3,5,2,7,4,1,6]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[8,6,2,3,4,5,7,1]=>[7,6,2,3,4,8,5,1]=>[8,1,7,5,4,3,2,6]=>[8,3,4,5,7,2,1,6]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[8,5,4,3,2,6,7,1]=>[7,3,4,5,8,2,6,1]=>[8,1,7,6,2,3,4,5]=>[8,6,2,3,4,7,1,5]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[8,5,3,4,2,6,7,1]=>[7,4,5,3,8,2,6,1]=>[8,1,7,6,2,4,3,5]=>[8,6,4,2,3,7,1,5]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>[8,3,4,5,2,6,7,1]=>[7,5,8,3,4,2,6,1]=>[8,1,7,6,2,5,4,3]=>[8,6,4,5,2,7,1,3]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[8,5,4,2,3,6,7,1]=>[7,4,2,5,8,3,6,1]=>[8,1,7,6,3,2,4,5]=>[8,3,6,2,4,7,1,5]
[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>[8,5,2,3,4,6,7,1]=>[7,5,2,3,8,4,6,1]=>[8,1,7,6,4,3,2,5]=>[8,3,4,6,2,7,1,5]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[8,3,4,2,5,6,7,1]=>[7,4,8,3,2,5,6,1]=>[8,1,7,6,5,2,4,3]=>[8,5,4,2,6,7,1,3]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[8,4,2,3,5,6,7,1]=>[7,4,2,8,3,5,6,1]=>[8,1,7,6,5,3,2,4]=>[8,3,5,2,6,7,1,4]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[8,3,2,4,5,6,7,1]=>[7,3,8,2,4,5,6,1]=>[8,1,7,6,5,4,2,3]=>[8,4,2,5,6,7,1,3]
[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[8,2,3,4,5,6,7,1]=>[7,8,2,3,4,5,6,1]=>[8,1,7,6,5,4,3,2]=>[8,3,4,5,6,7,1,2]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[8,3,4,5,6,7,2,1]=>[7,2,3,4,5,6,8,1]=>[8,7,2,3,4,5,6,1]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[8,3,4,5,7,6,2,1]=>[6,7,2,3,4,5,8,1]=>[8,7,2,3,4,6,5,1]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>[5,6,7,4,3,2,8,1]=>[8,3,4,7,5,6,2,1]=>[5,6,7,2,3,4,8,1]=>[8,7,2,3,5,6,4,1]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>[6,5,4,7,3,2,8,1]=>[8,3,7,5,6,4,2,1]=>[6,4,5,7,2,3,8,1]=>[8,7,2,6,4,5,3,1]
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]]=>[5,6,4,7,3,2,8,1]=>[8,3,7,6,5,4,2,1]=>[5,6,4,7,2,3,8,1]=>[8,7,2,6,5,4,3,1]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[6,4,5,7,3,2,8,1]=>[8,3,7,6,4,5,2,1]=>[6,5,4,7,2,3,8,1]=>[8,7,2,5,6,4,3,1]
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]=>[5,4,6,7,3,2,8,1]=>[8,3,7,5,4,6,2,1]=>[5,4,6,7,2,3,8,1]=>[8,7,2,5,4,6,3,1]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[8,3,7,4,5,6,2,1]=>[4,5,6,7,2,3,8,1]=>[8,7,2,4,5,6,3,1]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[7,5,6,3,4,2,8,1]=>[8,4,6,3,7,5,2,1]=>[7,2,4,3,6,5,8,1]=>[8,7,4,2,6,3,5,1]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[8,4,7,3,6,5,2,1]=>[6,5,7,2,4,3,8,1]=>[8,7,4,2,6,5,3,1]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[7,5,4,3,6,2,8,1]=>[8,6,4,5,7,3,2,1]=>[7,2,6,3,4,5,8,1]=>[8,7,6,3,4,2,5,1]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[7,4,5,3,6,2,8,1]=>[8,6,5,7,4,3,2,1]=>[7,2,6,3,5,4,8,1]=>[8,7,6,5,3,2,4,1]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>[7,5,3,4,6,2,8,1]=>[8,6,5,3,7,4,2,1]=>[7,2,6,4,3,5,8,1]=>[8,7,4,6,3,2,5,1]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>[7,3,4,5,6,2,8,1]=>[8,6,7,3,4,5,2,1]=>[7,2,6,5,4,3,8,1]=>[8,7,4,5,6,2,3,1]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[8,7,4,5,6,3,2,1]=>[6,3,4,5,7,2,8,1]=>[8,7,6,3,4,5,2,1]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[5,6,4,3,7,2,8,1]=>[8,7,4,6,5,3,2,1]=>[5,6,3,4,7,2,8,1]=>[8,7,6,3,5,4,2,1]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[6,4,5,3,7,2,8,1]=>[8,7,5,6,4,3,2,1]=>[6,3,5,4,7,2,8,1]=>[8,7,6,5,3,4,2,1]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[8,7,5,3,6,4,2,1]=>[6,4,3,5,7,2,8,1]=>[8,7,4,6,3,5,2,1]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[6,4,3,5,7,2,8,1]=>[8,7,4,6,3,5,2,1]=>[6,5,3,4,7,2,8,1]=>[8,7,5,3,6,4,2,1]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>[6,3,4,5,7,2,8,1]=>[8,7,6,3,4,5,2,1]=>[6,5,4,3,7,2,8,1]=>[8,7,4,5,6,3,2,1]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[5,3,4,6,7,2,8,1]=>[8,7,5,3,4,6,2,1]=>[5,4,3,6,7,2,8,1]=>[8,7,4,5,3,6,2,1]
[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,2,3,8,1]=>[8,4,2,5,6,7,3,1]=>[7,3,2,4,5,6,8,1]=>[8,3,7,2,4,5,6,1]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>[6,7,5,4,2,3,8,1]=>[8,4,2,5,7,6,3,1]=>[6,7,3,2,4,5,8,1]=>[8,3,7,2,4,6,5,1]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[8,4,2,7,6,5,3,1]=>[6,5,7,3,2,4,8,1]=>[8,3,7,2,6,5,4,1]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,2,3,8,1]=>[8,5,2,7,4,6,3,1]=>[6,7,3,2,5,4,8,1]=>[8,3,7,5,2,6,4,1]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,2,3,8,1]=>[8,7,2,5,6,4,3,1]=>[6,4,5,7,3,2,8,1]=>[8,3,7,6,4,5,2,1]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[4,5,6,7,2,3,8,1]=>[8,7,2,4,5,6,3,1]=>[4,5,6,7,3,2,8,1]=>[8,3,7,4,5,6,2,1]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>[7,6,5,3,2,4,8,1]=>[8,3,5,2,6,7,4,1]=>[7,4,2,3,5,6,8,1]=>[8,4,2,7,3,5,6,1]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[6,5,7,3,2,4,8,1]=>[8,3,7,2,6,5,4,1]=>[6,5,7,4,2,3,8,1]=>[8,4,2,7,6,5,3,1]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[7,5,6,2,3,4,8,1]=>[8,6,2,3,7,5,4,1]=>[7,4,3,2,6,5,8,1]=>[8,3,4,7,6,2,5,1]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[7,6,3,4,2,5,8,1]=>[8,4,6,3,2,7,5,1]=>[7,5,2,4,3,6,8,1]=>[8,5,4,2,7,3,6,1]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[7,6,4,2,3,5,8,1]=>[8,4,2,6,3,7,5,1]=>[7,5,3,2,4,6,8,1]=>[8,3,5,2,7,4,6,1]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[7,6,3,2,4,5,8,1]=>[8,3,6,2,4,7,5,1]=>[7,5,4,2,3,6,8,1]=>[8,4,2,5,7,3,6,1]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[6,7,3,2,4,5,8,1]=>[8,3,7,2,4,6,5,1]=>[6,7,5,4,2,3,8,1]=>[8,4,2,5,7,6,3,1]
[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[6,7,2,3,4,5,8,1]=>[8,7,2,3,4,6,5,1]=>[6,7,5,4,3,2,8,1]=>[8,3,4,5,7,6,2,1]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[7,5,4,3,2,6,8,1]=>[8,3,4,5,7,2,6,1]=>[7,6,2,3,4,5,8,1]=>[8,6,2,3,4,7,5,1]
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]]=>[7,4,5,3,2,6,8,1]=>[8,3,5,7,4,2,6,1]=>[7,6,2,3,5,4,8,1]=>[8,6,2,5,3,7,4,1]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[7,5,4,2,3,6,8,1]=>[8,4,2,5,7,3,6,1]=>[7,6,3,2,4,5,8,1]=>[8,3,6,2,4,7,5,1]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[7,5,3,2,4,6,8,1]=>[8,3,5,2,7,4,6,1]=>[7,6,4,2,3,5,8,1]=>[8,4,2,6,3,7,5,1]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[7,4,3,2,5,6,8,1]=>[8,3,4,7,2,5,6,1]=>[7,6,5,2,3,4,8,1]=>[8,5,2,3,6,7,4,1]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>[7,3,4,2,5,6,8,1]=>[8,4,7,3,2,5,6,1]=>[7,6,5,2,4,3,8,1]=>[8,5,4,2,6,7,3,1]
[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[7,2,3,4,5,6,8,1]=>[8,7,2,3,4,5,6,1]=>[7,6,5,4,3,2,8,1]=>[8,3,4,5,6,7,2,1]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[8,3,4,5,6,2,7,1]=>[6,2,3,4,5,7,8,1]=>[8,6,2,3,4,5,7,1]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[8,3,6,5,4,2,7,1]=>[5,4,6,2,3,7,8,1]=>[8,6,2,5,4,3,7,1]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>[4,5,6,3,2,7,8,1]=>[8,3,6,4,5,2,7,1]=>[4,5,6,2,3,7,8,1]=>[8,6,2,4,5,3,7,1]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>[6,3,4,5,2,7,8,1]=>[8,5,6,3,4,2,7,1]=>[6,2,5,4,3,7,8,1]=>[8,6,4,5,2,3,7,1]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]]=>[5,3,4,6,2,7,8,1]=>[8,6,5,3,4,2,7,1]=>[5,4,3,6,2,7,8,1]=>[8,6,4,5,3,2,7,1]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[5,4,6,2,3,7,8,1]=>[8,6,2,5,4,3,7,1]=>[5,4,6,3,2,7,8,1]=>[8,3,6,5,4,2,7,1]
[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[4,5,6,2,3,7,8,1]=>[8,6,2,4,5,3,7,1]=>[4,5,6,3,2,7,8,1]=>[8,3,6,4,5,2,7,1]
[.,[[[[[.,[.,.]],.],[.,.]],.],.]]=>[6,3,2,4,5,7,8,1]=>[8,3,6,2,4,5,7,1]=>[6,5,4,2,3,7,8,1]=>[8,4,2,5,6,3,7,1]
[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[6,2,3,4,5,7,8,1]=>[8,6,2,3,4,5,7,1]=>[6,5,4,3,2,7,8,1]=>[8,3,4,5,6,2,7,1]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[8,3,4,5,2,6,7,1]=>[5,2,3,4,6,7,8,1]=>[8,5,2,3,4,6,7,1]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>[4,5,3,2,6,7,8,1]=>[8,3,5,4,2,6,7,1]=>[4,5,2,3,6,7,8,1]=>[8,5,2,4,3,6,7,1]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1]
[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1]
[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[4,5,2,3,6,7,8,1]=>[8,5,2,4,3,6,7,1]=>[4,5,3,2,6,7,8,1]=>[8,3,5,4,2,6,7,1]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[5,2,3,4,6,7,8,1]=>[8,5,2,3,4,6,7,1]=>[5,4,3,2,6,7,8,1]=>[8,3,4,5,2,6,7,1]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[8,3,4,2,5,6,7,1]=>[4,2,3,5,6,7,8,1]=>[8,4,2,3,5,6,7,1]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1]
[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[4,2,3,5,6,7,8,1]=>[8,4,2,3,5,6,7,1]=>[4,3,2,5,6,7,8,1]=>[8,3,4,2,5,6,7,1]
[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,2]=>[8,2,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,7]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>[3,1,4,5,6,8,7,2]=>[7,8,2,1,3,4,5,6]=>[2,8,1,3,4,5,7,6]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,3,1,2]=>[3,1,4,5,7,8,6,2]=>[8,2,1,3,4,5,7,6]=>[2,8,1,3,4,7,5,6]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[6,7,8,5,4,3,1,2]=>[3,1,4,5,8,6,7,2]=>[6,7,8,2,1,3,4,5]=>[2,8,1,3,4,6,7,5]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[3,1,4,6,7,5,8,2]=>[8,2,1,3,4,6,5,7]=>[2,8,1,3,6,4,5,7]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,3,1,2]=>[3,1,4,6,8,5,7,2]=>[7,8,2,1,3,4,6,5]=>[2,8,1,3,6,4,7,5]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,4,3,1,2]=>[3,1,4,7,6,8,5,2]=>[8,2,1,3,4,7,5,6]=>[2,8,1,3,7,5,4,6]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,3,1,2]=>[3,1,4,8,7,6,5,2]=>[6,7,5,8,2,1,3,4]=>[2,8,1,3,7,6,5,4]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,3,1,2]=>[3,1,4,8,7,5,6,2]=>[7,6,5,8,2,1,3,4]=>[2,8,1,3,6,7,5,4]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[6,5,7,8,4,3,1,2]=>[3,1,4,8,6,5,7,2]=>[6,5,7,8,2,1,3,4]=>[2,8,1,3,6,5,7,4]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[3,1,4,8,5,6,7,2]=>[5,6,7,8,2,1,3,4]=>[2,8,1,3,5,6,7,4]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[3,1,5,6,4,8,7,2]=>[7,8,2,1,3,5,4,6]=>[2,8,1,5,3,4,7,6]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,3,1,2]=>[3,1,5,7,4,8,6,2]=>[8,2,1,3,5,4,7,6]=>[2,8,1,5,3,7,4,6]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>[7,6,8,4,5,3,1,2]=>[3,1,5,8,4,7,6,2]=>[7,6,8,2,1,3,5,4]=>[2,8,1,5,3,7,6,4]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,3,1,2]=>[3,1,6,5,7,4,8,2]=>[8,2,1,3,6,4,5,7]=>[2,8,1,6,4,3,5,7]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,3,1,2]=>[3,1,6,7,4,5,8,2]=>[8,2,1,3,6,5,4,7]=>[2,8,1,5,6,3,4,7]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[3,1,6,8,4,5,7,2]=>[7,8,2,1,3,6,5,4]=>[2,8,1,5,6,3,7,4]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,3,1,2]=>[3,1,7,6,8,5,4,2]=>[8,2,1,3,7,4,6,5]=>[2,8,1,7,6,4,3,5]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,3,1,2]=>[3,1,8,5,6,7,4,2]=>[7,4,5,6,8,2,1,3]=>[2,8,1,7,4,5,6,3]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,3,1,2]=>[3,1,8,7,6,5,4,2]=>[6,5,7,4,8,2,1,3]=>[2,8,1,7,6,5,4,3]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[3,1,8,6,4,7,5,2]=>[7,5,4,6,8,2,1,3]=>[2,8,1,5,7,4,6,3]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[3,1,8,7,4,6,5,2]=>[6,7,5,4,8,2,1,3]=>[2,8,1,5,7,6,4,3]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[7,5,4,6,8,3,1,2]=>[3,1,8,5,7,4,6,2]=>[7,6,4,5,8,2,1,3]=>[2,8,1,6,4,7,5,3]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[3,1,8,4,5,6,7,2]=>[4,5,6,7,8,2,1,3]=>[2,8,1,4,5,6,7,3]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,4,1,2]=>[4,1,5,3,6,8,7,2]=>[7,8,2,1,4,3,5,6]=>[2,8,4,1,3,5,7,6]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,4,1,2]=>[4,1,5,3,8,6,7,2]=>[6,7,8,2,1,4,3,5]=>[2,8,4,1,3,6,7,5]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[4,1,6,3,7,5,8,2]=>[8,2,1,4,3,6,5,7]=>[2,8,4,1,6,3,5,7]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[4,1,6,3,8,5,7,2]=>[7,8,2,1,4,3,6,5]=>[2,8,4,1,6,3,7,5]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,4,1,2]=>[4,1,7,3,6,8,5,2]=>[8,2,1,4,3,7,5,6]=>[2,8,4,1,7,5,3,6]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,4,1,2]=>[4,1,7,3,8,5,6,2]=>[8,2,1,4,3,7,6,5]=>[2,8,4,1,6,7,3,5]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[4,1,8,3,6,7,5,2]=>[7,5,6,8,2,1,4,3]=>[2,8,4,1,7,5,6,3]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[4,1,8,3,7,6,5,2]=>[6,7,5,8,2,1,4,3]=>[2,8,4,1,7,6,5,3]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[4,1,8,3,7,5,6,2]=>[7,6,5,8,2,1,4,3]=>[2,8,4,1,6,7,5,3]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[4,1,8,3,6,5,7,2]=>[6,5,7,8,2,1,4,3]=>[2,8,4,1,6,5,7,3]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[4,1,8,3,5,6,7,2]=>[5,6,7,8,2,1,4,3]=>[2,8,4,1,5,6,7,3]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,3,5,1,2]=>[5,1,4,8,3,7,6,2]=>[7,6,8,2,1,5,3,4]=>[2,8,5,3,1,7,6,4]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[8,6,7,3,4,5,1,2]=>[5,1,7,3,4,8,6,2]=>[8,2,1,5,4,3,7,6]=>[2,8,4,5,1,7,3,6]
[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[6,7,8,3,4,5,1,2]=>[5,1,8,3,4,6,7,2]=>[6,7,8,2,1,5,4,3]=>[2,8,4,5,1,6,7,3]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,3,6,1,2]=>[6,1,4,5,8,3,7,2]=>[7,8,2,1,6,3,4,5]=>[2,8,6,3,4,1,7,5]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,3,6,1,2]=>[6,1,5,8,4,3,7,2]=>[7,8,2,1,6,3,5,4]=>[2,8,6,5,3,1,7,4]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[8,7,4,3,5,6,1,2]=>[6,1,4,7,3,5,8,2]=>[8,2,1,6,5,3,4,7]=>[2,8,5,3,6,1,4,7]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[6,1,4,8,3,5,7,2]=>[7,8,2,1,6,5,3,4]=>[2,8,5,3,6,1,7,4]
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[6,1,8,3,4,5,7,2]=>[7,8,2,1,6,5,4,3]=>[2,8,4,5,6,1,7,3]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[8,6,5,4,3,7,1,2]=>[7,1,4,5,6,8,3,2]=>[8,2,1,7,3,4,5,6]=>[2,8,7,3,4,5,1,6]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[8,5,6,3,4,7,1,2]=>[7,1,6,3,8,5,4,2]=>[8,2,1,7,4,3,6,5]=>[2,8,4,7,6,3,1,5]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[8,6,4,3,5,7,1,2]=>[7,1,4,6,3,8,5,2]=>[8,2,1,7,5,3,4,6]=>[2,8,5,3,7,4,1,6]
[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[8,6,3,4,5,7,1,2]=>[7,1,6,3,4,8,5,2]=>[8,2,1,7,5,4,3,6]=>[2,8,4,5,7,3,1,6]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[8,5,4,3,6,7,1,2]=>[7,1,4,5,8,3,6,2]=>[8,2,1,7,6,3,4,5]=>[2,8,6,3,4,7,1,5]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[8,5,3,4,6,7,1,2]=>[7,1,5,3,8,4,6,2]=>[8,2,1,7,6,4,3,5]=>[2,8,4,6,3,7,1,5]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[8,4,3,5,6,7,1,2]=>[7,1,4,8,3,5,6,2]=>[8,2,1,7,6,5,3,4]=>[2,8,5,3,6,7,1,4]
[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[8,3,4,5,6,7,1,2]=>[7,1,8,3,4,5,6,2]=>[8,2,1,7,6,5,4,3]=>[2,8,4,5,6,7,1,3]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,3,8,1,2]=>[8,1,4,5,6,7,3,2]=>[7,3,4,5,6,8,2,1]=>[2,8,7,3,4,5,6,1]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>[7,6,4,5,3,8,1,2]=>[8,1,5,6,4,7,3,2]=>[7,3,5,4,6,8,2,1]=>[2,8,7,5,3,4,6,1]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[8,1,5,7,4,6,3,2]=>[6,7,3,5,4,8,2,1]=>[2,8,7,5,3,6,4,1]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,3,8,1,2]=>[8,1,6,5,7,4,3,2]=>[7,3,6,4,5,8,2,1]=>[2,8,7,6,4,3,5,1]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,3,8,1,2]=>[8,1,7,5,6,4,3,2]=>[6,4,5,7,3,8,2,1]=>[2,8,7,6,4,5,3,1]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,3,8,1,2]=>[8,1,7,6,4,5,3,2]=>[6,5,4,7,3,8,2,1]=>[2,8,7,5,6,4,3,1]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[8,1,7,5,4,6,3,2]=>[5,4,6,7,3,8,2,1]=>[2,8,7,5,4,6,3,1]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[4,5,6,7,3,8,1,2]=>[8,1,7,4,5,6,3,2]=>[4,5,6,7,3,8,2,1]=>[2,8,7,4,5,6,3,1]
[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[5,6,7,3,4,8,1,2]=>[8,1,7,3,5,6,4,2]=>[5,6,7,4,3,8,2,1]=>[2,8,4,7,5,6,3,1]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>[7,6,4,3,5,8,1,2]=>[8,1,4,6,3,7,5,2]=>[7,5,3,4,6,8,2,1]=>[2,8,5,3,7,4,6,1]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[8,1,6,3,4,7,5,2]=>[7,5,4,3,6,8,2,1]=>[2,8,4,5,7,3,6,1]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[7,5,4,3,6,8,1,2]=>[8,1,4,5,7,3,6,2]=>[7,6,3,4,5,8,2,1]=>[2,8,6,3,4,7,5,1]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>[7,4,5,3,6,8,1,2]=>[8,1,5,7,4,3,6,2]=>[7,6,3,5,4,8,2,1]=>[2,8,6,5,3,7,4,1]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[7,5,3,4,6,8,1,2]=>[8,1,5,3,7,4,6,2]=>[7,6,4,3,5,8,2,1]=>[2,8,4,6,3,7,5,1]
[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>[7,3,4,5,6,8,1,2]=>[8,1,7,3,4,5,6,2]=>[7,6,5,4,3,8,2,1]=>[2,8,4,5,6,7,3,1]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[8,1,4,5,6,3,7,2]=>[6,3,4,5,7,8,2,1]=>[2,8,6,3,4,5,7,1]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>[6,4,5,3,7,8,1,2]=>[8,1,5,6,4,3,7,2]=>[6,3,5,4,7,8,2,1]=>[2,8,6,5,3,4,7,1]
[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[4,5,6,3,7,8,1,2]=>[8,1,6,4,5,3,7,2]=>[4,5,6,3,7,8,2,1]=>[2,8,6,4,5,3,7,1]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[8,1,4,6,3,5,7,2]=>[6,5,3,4,7,8,2,1]=>[2,8,5,3,6,4,7,1]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[8,1,6,3,4,5,7,2]=>[6,5,4,3,7,8,2,1]=>[2,8,4,5,6,3,7,1]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[5,3,4,6,7,8,1,2]=>[8,1,5,3,4,6,7,2]=>[5,4,3,6,7,8,2,1]=>[2,8,4,5,3,6,7,1]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[8,1,4,3,5,6,7,2]=>[4,3,5,6,7,8,2,1]=>[2,8,4,3,5,6,7,1]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[8,1,3,4,5,6,7,2]=>[3,4,5,6,7,8,2,1]=>[2,8,3,4,5,6,7,1]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,3]=>[8,3,1,2,4,5,6,7]=>[3,1,8,2,4,5,6,7]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[7,8,6,5,4,2,1,3]=>[2,4,1,5,6,8,7,3]=>[7,8,3,1,2,4,5,6]=>[3,1,8,2,4,5,7,6]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[2,4,1,5,8,7,6,3]=>[7,6,8,3,1,2,4,5]=>[3,1,8,2,4,7,6,5]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,2,1,3]=>[2,4,1,5,8,6,7,3]=>[6,7,8,3,1,2,4,5]=>[3,1,8,2,4,6,7,5]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[2,4,1,6,7,5,8,3]=>[8,3,1,2,4,6,5,7]=>[3,1,8,2,6,4,5,7]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,2,1,3]=>[2,4,1,6,8,5,7,3]=>[7,8,3,1,2,4,6,5]=>[3,1,8,2,6,4,7,5]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[8,6,5,7,4,2,1,3]=>[2,4,1,7,6,8,5,3]=>[8,3,1,2,4,7,5,6]=>[3,1,8,2,7,5,4,6]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,2,1,3]=>[2,4,1,7,8,5,6,3]=>[8,3,1,2,4,7,6,5]=>[3,1,8,2,6,7,4,5]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[2,4,1,8,6,7,5,3]=>[7,5,6,8,3,1,2,4]=>[3,1,8,2,7,5,6,4]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,2,1,3]=>[2,4,1,8,7,6,5,3]=>[6,7,5,8,3,1,2,4]=>[3,1,8,2,7,6,5,4]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,2,1,3]=>[2,4,1,8,7,5,6,3]=>[7,6,5,8,3,1,2,4]=>[3,1,8,2,6,7,5,4]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,2,1,3]=>[2,4,1,8,6,5,7,3]=>[6,5,7,8,3,1,2,4]=>[3,1,8,2,6,5,7,4]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[2,4,1,8,5,6,7,3]=>[5,6,7,8,3,1,2,4]=>[3,1,8,2,5,6,7,4]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[7,8,6,4,5,2,1,3]=>[2,5,1,6,4,8,7,3]=>[7,8,3,1,2,5,4,6]=>[3,1,8,5,2,4,7,6]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,2,1,3]=>[2,5,1,7,4,8,6,3]=>[8,3,1,2,5,4,7,6]=>[3,1,8,5,2,7,4,6]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[7,6,8,4,5,2,1,3]=>[2,5,1,8,4,7,6,3]=>[7,6,8,3,1,2,5,4]=>[3,1,8,5,2,7,6,4]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,2,1,3]=>[2,6,1,5,7,4,8,3]=>[8,3,1,2,6,4,5,7]=>[3,1,8,6,4,2,5,7]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,2,1,3]=>[2,6,1,5,8,4,7,3]=>[7,8,3,1,2,6,4,5]=>[3,1,8,6,4,2,7,5]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,2,1,3]=>[2,6,1,7,4,5,8,3]=>[8,3,1,2,6,5,4,7]=>[3,1,8,5,6,2,4,7]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[7,8,4,5,6,2,1,3]=>[2,6,1,8,4,5,7,3]=>[7,8,3,1,2,6,5,4]=>[3,1,8,5,6,2,7,4]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,2,1,3]=>[2,7,1,5,6,8,4,3]=>[8,3,1,2,7,4,5,6]=>[3,1,8,7,4,5,2,6]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[8,5,4,6,7,2,1,3]=>[2,7,1,5,8,4,6,3]=>[8,3,1,2,7,6,4,5]=>[3,1,8,6,4,7,2,5]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[8,4,5,6,7,2,1,3]=>[2,7,1,8,4,5,6,3]=>[8,3,1,2,7,6,5,4]=>[3,1,8,5,6,7,2,4]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,2,1,3]=>[2,8,1,5,7,6,4,3]=>[6,7,4,5,8,3,1,2]=>[3,1,8,7,4,6,5,2]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,2,1,3]=>[2,8,1,7,6,5,4,3]=>[6,5,7,4,8,3,1,2]=>[3,1,8,7,6,5,4,2]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,2,1,3]=>[2,8,1,5,7,4,6,3]=>[7,6,4,5,8,3,1,2]=>[3,1,8,6,4,7,5,2]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,2,1,3]=>[2,8,1,7,4,5,6,3]=>[7,6,5,4,8,3,1,2]=>[3,1,8,5,6,7,4,2]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,2,1,3]=>[2,8,1,6,5,4,7,3]=>[5,6,4,7,8,3,1,2]=>[3,1,8,6,5,4,7,2]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[2,8,1,4,5,6,7,3]=>[4,5,6,7,8,3,1,2]=>[3,1,8,4,5,6,7,2]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,3]=>[8,3,2,1,4,5,6,7]=>[2,3,8,1,4,5,6,7]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[7,8,6,5,4,1,2,3]=>[4,1,2,5,6,8,7,3]=>[7,8,3,2,1,4,5,6]=>[2,3,8,1,4,5,7,6]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,1,2,3]=>[4,1,2,5,8,7,6,3]=>[7,6,8,3,2,1,4,5]=>[2,3,8,1,4,7,6,5]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[4,1,2,5,8,6,7,3]=>[6,7,8,3,2,1,4,5]=>[2,3,8,1,4,6,7,5]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,1,2,3]=>[4,1,2,6,8,5,7,3]=>[7,8,3,2,1,4,6,5]=>[2,3,8,1,6,4,7,5]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[8,6,5,7,4,1,2,3]=>[4,1,2,7,6,8,5,3]=>[8,3,2,1,4,7,5,6]=>[2,3,8,1,7,5,4,6]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>[4,1,2,7,8,5,6,3]=>[8,3,2,1,4,7,6,5]=>[2,3,8,1,6,7,4,5]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,1,2,3]=>[4,1,2,8,7,6,5,3]=>[6,7,5,8,3,2,1,4]=>[2,3,8,1,7,6,5,4]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,1,2,3]=>[4,1,2,8,7,5,6,3]=>[7,6,5,8,3,2,1,4]=>[2,3,8,1,6,7,5,4]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,1,2,3]=>[4,1,2,8,6,5,7,3]=>[6,5,7,8,3,2,1,4]=>[2,3,8,1,6,5,7,4]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[4,1,2,8,5,6,7,3]=>[5,6,7,8,3,2,1,4]=>[2,3,8,1,5,6,7,4]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,1,2,3]=>[5,1,2,6,4,7,8,3]=>[8,3,2,1,5,4,6,7]=>[2,3,8,5,1,4,6,7]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[7,8,6,4,5,1,2,3]=>[5,1,2,6,4,8,7,3]=>[7,8,3,2,1,5,4,6]=>[2,3,8,5,1,4,7,6]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>[5,1,2,7,4,8,6,3]=>[8,3,2,1,5,4,7,6]=>[2,3,8,5,1,7,4,6]
[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[6,7,8,4,5,1,2,3]=>[5,1,2,8,4,6,7,3]=>[6,7,8,3,2,1,5,4]=>[2,3,8,5,1,6,7,4]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,1,2,3]=>[6,1,2,5,7,4,8,3]=>[8,3,2,1,6,4,5,7]=>[2,3,8,6,4,1,5,7]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,1,2,3]=>[6,1,2,5,8,4,7,3]=>[7,8,3,2,1,6,4,5]=>[2,3,8,6,4,1,7,5]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,1,2,3]=>[6,1,2,7,4,5,8,3]=>[8,3,2,1,6,5,4,7]=>[2,3,8,5,6,1,4,7]
[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[7,8,4,5,6,1,2,3]=>[6,1,2,8,4,5,7,3]=>[7,8,3,2,1,6,5,4]=>[2,3,8,5,6,1,7,4]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,1,2,3]=>[7,1,2,5,6,8,4,3]=>[8,3,2,1,7,4,5,6]=>[2,3,8,7,4,5,1,6]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,1,2,3]=>[7,1,2,6,8,5,4,3]=>[8,3,2,1,7,4,6,5]=>[2,3,8,7,6,4,1,5]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[8,5,4,6,7,1,2,3]=>[7,1,2,5,8,4,6,3]=>[8,3,2,1,7,6,4,5]=>[2,3,8,6,4,7,1,5]
[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[8,4,5,6,7,1,2,3]=>[7,1,2,8,4,5,6,3]=>[8,3,2,1,7,6,5,4]=>[2,3,8,5,6,7,1,4]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,1,2,3]=>[8,1,2,5,6,7,4,3]=>[7,4,5,6,8,3,2,1]=>[2,3,8,7,4,5,6,1]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,1,2,3]=>[8,1,2,5,7,6,4,3]=>[6,7,4,5,8,3,2,1]=>[2,3,8,7,4,6,5,1]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,1,2,3]=>[8,1,2,6,7,5,4,3]=>[7,4,6,5,8,3,2,1]=>[2,3,8,7,6,4,5,1]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,1,2,3]=>[8,1,2,7,6,5,4,3]=>[6,5,7,4,8,3,2,1]=>[2,3,8,7,6,5,4,1]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,1,2,3]=>[8,1,2,6,4,7,5,3]=>[7,5,4,6,8,3,2,1]=>[2,3,8,5,7,4,6,1]
[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>[8,1,2,7,4,6,5,3]=>[6,7,5,4,8,3,2,1]=>[2,3,8,5,7,6,4,1]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,1,2,3]=>[8,1,2,5,7,4,6,3]=>[7,6,4,5,8,3,2,1]=>[2,3,8,6,4,7,5,1]
[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,1,2,3]=>[8,1,2,7,4,5,6,3]=>[7,6,5,4,8,3,2,1]=>[2,3,8,5,6,7,4,1]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[8,1,2,5,6,4,7,3]=>[6,4,5,7,8,3,2,1]=>[2,3,8,6,4,5,7,1]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[8,1,2,6,5,4,7,3]=>[5,6,4,7,8,3,2,1]=>[2,3,8,6,5,4,7,1]
[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[6,4,5,7,8,1,2,3]=>[8,1,2,6,4,5,7,3]=>[6,5,4,7,8,3,2,1]=>[2,3,8,5,6,4,7,1]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[8,1,2,4,5,6,7,3]=>[4,5,6,7,8,3,2,1]=>[2,3,8,4,5,6,7,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,4]=>[8,4,1,2,3,5,6,7]=>[4,1,2,8,3,5,6,7]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,2,1,4]=>[2,3,5,1,8,7,6,4]=>[7,6,8,4,1,2,3,5]=>[4,1,2,8,3,7,6,5]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,2,1,4]=>[2,3,6,1,8,5,7,4]=>[7,8,4,1,2,3,6,5]=>[4,1,2,8,6,3,7,5]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,2,1,4]=>[2,3,7,1,6,8,5,4]=>[8,4,1,2,3,7,5,6]=>[4,1,2,8,7,5,3,6]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[2,3,8,1,6,7,5,4]=>[7,5,6,8,4,1,2,3]=>[4,1,2,8,7,5,6,3]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,2,1,4]=>[2,3,8,1,7,6,5,4]=>[6,7,5,8,4,1,2,3]=>[4,1,2,8,7,6,5,3]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,2,1,4]=>[2,3,8,1,7,5,6,4]=>[7,6,5,8,4,1,2,3]=>[4,1,2,8,6,7,5,3]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[2,3,8,1,6,5,7,4]=>[6,5,7,8,4,1,2,3]=>[4,1,2,8,6,5,7,3]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[2,3,8,1,5,6,7,4]=>[5,6,7,8,4,1,2,3]=>[4,1,2,8,5,6,7,3]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[3,5,2,1,6,7,8,4]=>[8,4,1,3,2,5,6,7]=>[4,3,1,8,2,5,6,7]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,3,1,4]=>[3,5,2,1,6,8,7,4]=>[7,8,4,1,3,2,5,6]=>[4,3,1,8,2,5,7,6]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,3,1,4]=>[3,5,2,1,7,8,6,4]=>[8,4,1,3,2,5,7,6]=>[4,3,1,8,2,7,5,6]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[3,5,2,1,8,7,6,4]=>[7,6,8,4,1,3,2,5]=>[4,3,1,8,2,7,6,5]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[3,6,2,1,7,5,8,4]=>[8,4,1,3,2,6,5,7]=>[4,3,1,8,6,2,5,7]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,3,1,4]=>[3,7,2,1,8,5,6,4]=>[8,4,1,3,2,7,6,5]=>[4,3,1,8,6,7,2,5]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[3,8,2,1,6,7,5,4]=>[7,5,6,8,4,1,3,2]=>[4,3,1,8,7,5,6,2]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,3,1,4]=>[3,8,2,1,7,6,5,4]=>[6,7,5,8,4,1,3,2]=>[4,3,1,8,7,6,5,2]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[3,8,2,1,7,5,6,4]=>[7,6,5,8,4,1,3,2]=>[4,3,1,8,6,7,5,2]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[3,8,2,1,5,6,7,4]=>[5,6,7,8,4,1,3,2]=>[4,3,1,8,5,6,7,2]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[3,1,5,2,6,7,8,4]=>[8,4,2,1,3,5,6,7]=>[2,4,1,8,3,5,6,7]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,1,2,4]=>[3,1,5,2,6,8,7,4]=>[7,8,4,2,1,3,5,6]=>[2,4,1,8,3,5,7,6]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,1,2,4]=>[3,1,5,2,7,8,6,4]=>[8,4,2,1,3,5,7,6]=>[2,4,1,8,3,7,5,6]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,1,2,4]=>[3,1,5,2,8,6,7,4]=>[6,7,8,4,2,1,3,5]=>[2,4,1,8,3,6,7,5]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,1,2,4]=>[3,1,6,2,7,5,8,4]=>[8,4,2,1,3,6,5,7]=>[2,4,1,8,6,3,5,7]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[3,1,6,2,8,5,7,4]=>[7,8,4,2,1,3,6,5]=>[2,4,1,8,6,3,7,5]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,1,2,4]=>[3,1,7,2,6,8,5,4]=>[8,4,2,1,3,7,5,6]=>[2,4,1,8,7,5,3,6]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,1,2,4]=>[3,1,7,2,8,5,6,4]=>[8,4,2,1,3,7,6,5]=>[2,4,1,8,6,7,3,5]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,1,2,4]=>[3,1,8,2,6,7,5,4]=>[7,5,6,8,4,2,1,3]=>[2,4,1,8,7,5,6,3]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[3,1,8,2,7,6,5,4]=>[6,7,5,8,4,2,1,3]=>[2,4,1,8,7,6,5,3]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,1,2,4]=>[3,1,8,2,7,5,6,4]=>[7,6,5,8,4,2,1,3]=>[2,4,1,8,6,7,5,3]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,1,2,4]=>[3,1,8,2,6,5,7,4]=>[6,5,7,8,4,2,1,3]=>[2,4,1,8,6,5,7,3]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[3,1,8,2,5,6,7,4]=>[5,6,7,8,4,2,1,3]=>[2,4,1,8,5,6,7,3]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,1,3,4]=>[2,5,1,3,6,8,7,4]=>[7,8,4,3,1,2,5,6]=>[3,1,4,8,2,5,7,6]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,1,3,4]=>[2,5,1,3,7,8,6,4]=>[8,4,3,1,2,5,7,6]=>[3,1,4,8,2,7,5,6]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[2,5,1,3,8,6,7,4]=>[6,7,8,4,3,1,2,5]=>[3,1,4,8,2,6,7,5]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,1,3,4]=>[2,6,1,3,7,5,8,4]=>[8,4,3,1,2,6,5,7]=>[3,1,4,8,6,2,5,7]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[2,6,1,3,8,5,7,4]=>[7,8,4,3,1,2,6,5]=>[3,1,4,8,6,2,7,5]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,1,3,4]=>[2,7,1,3,8,5,6,4]=>[8,4,3,1,2,7,6,5]=>[3,1,4,8,6,7,2,5]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[2,8,1,3,6,7,5,4]=>[7,5,6,8,4,3,1,2]=>[3,1,4,8,7,5,6,2]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[2,8,1,3,7,6,5,4]=>[6,7,5,8,4,3,1,2]=>[3,1,4,8,7,6,5,2]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,1,3,4]=>[2,8,1,3,7,5,6,4]=>[7,6,5,8,4,3,1,2]=>[3,1,4,8,6,7,5,2]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[2,8,1,3,6,5,7,4]=>[6,5,7,8,4,3,1,2]=>[3,1,4,8,6,5,7,2]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[2,8,1,3,5,6,7,4]=>[5,6,7,8,4,3,1,2]=>[3,1,4,8,5,6,7,2]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,4]=>[8,4,3,2,1,5,6,7]=>[2,3,4,8,1,5,6,7]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[5,1,2,3,6,8,7,4]=>[7,8,4,3,2,1,5,6]=>[2,3,4,8,1,5,7,6]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[5,1,2,3,7,8,6,4]=>[8,4,3,2,1,5,7,6]=>[2,3,4,8,1,7,5,6]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[5,1,2,3,8,7,6,4]=>[7,6,8,4,3,2,1,5]=>[2,3,4,8,1,7,6,5]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[5,1,2,3,8,6,7,4]=>[6,7,8,4,3,2,1,5]=>[2,3,4,8,1,6,7,5]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[6,1,2,3,7,5,8,4]=>[8,4,3,2,1,6,5,7]=>[2,3,4,8,6,1,5,7]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[6,1,2,3,8,5,7,4]=>[7,8,4,3,2,1,6,5]=>[2,3,4,8,6,1,7,5]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[7,1,2,3,6,8,5,4]=>[8,4,3,2,1,7,5,6]=>[2,3,4,8,7,5,1,6]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[7,1,2,3,8,5,6,4]=>[8,4,3,2,1,7,6,5]=>[2,3,4,8,6,7,1,5]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[8,1,2,3,6,7,5,4]=>[7,5,6,8,4,3,2,1]=>[2,3,4,8,7,5,6,1]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[8,1,2,3,7,6,5,4]=>[6,7,5,8,4,3,2,1]=>[2,3,4,8,7,6,5,1]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[8,1,2,3,7,5,6,4]=>[7,6,5,8,4,3,2,1]=>[2,3,4,8,6,7,5,1]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[8,1,2,3,6,5,7,4]=>[6,5,7,8,4,3,2,1]=>[2,3,4,8,6,5,7,1]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4]=>[5,6,7,8,4,3,2,1]=>[2,3,4,8,5,6,7,1]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,5]=>[8,5,1,2,3,4,6,7]=>[5,1,2,3,8,4,6,7]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[7,8,6,4,3,2,1,5]=>[2,3,4,6,1,8,7,5]=>[7,8,5,1,2,3,4,6]=>[5,1,2,3,8,4,7,6]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[7,6,8,4,3,2,1,5]=>[2,3,4,8,1,7,6,5]=>[7,6,8,5,1,2,3,4]=>[5,1,2,3,8,7,6,4]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[2,3,4,8,1,6,7,5]=>[6,7,8,5,1,2,3,4]=>[5,1,2,3,8,6,7,4]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[2,4,6,3,1,7,8,5]=>[8,5,1,2,4,3,6,7]=>[5,1,4,2,8,3,6,7]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[7,8,6,3,4,2,1,5]=>[2,4,6,3,1,8,7,5]=>[7,8,5,1,2,4,3,6]=>[5,1,4,2,8,3,7,6]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[8,6,7,3,4,2,1,5]=>[2,4,7,3,1,8,6,5]=>[8,5,1,2,4,3,7,6]=>[5,1,4,2,8,7,3,6]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[6,7,8,3,4,2,1,5]=>[2,4,8,3,1,6,7,5]=>[6,7,8,5,1,2,4,3]=>[5,1,4,2,8,6,7,3]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[3,4,2,6,1,7,8,5]=>[8,5,1,3,2,4,6,7]=>[5,3,1,2,8,4,6,7]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[7,8,6,4,2,3,1,5]=>[3,4,2,6,1,8,7,5]=>[7,8,5,1,3,2,4,6]=>[5,3,1,2,8,4,7,6]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[8,6,7,4,2,3,1,5]=>[3,4,2,7,1,8,6,5]=>[8,5,1,3,2,4,7,6]=>[5,3,1,2,8,7,4,6]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,2,3,1,5]=>[3,4,2,8,1,7,6,5]=>[7,6,8,5,1,3,2,4]=>[5,3,1,2,8,7,6,4]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[3,4,2,8,1,6,7,5]=>[6,7,8,5,1,3,2,4]=>[5,3,1,2,8,6,7,4]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[4,3,6,2,1,7,8,5]=>[8,5,1,4,2,3,6,7]=>[5,4,2,1,8,3,6,7]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[7,6,8,3,2,4,1,5]=>[4,3,8,2,1,7,6,5]=>[7,6,8,5,1,4,2,3]=>[5,4,2,1,8,7,6,3]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[4,3,8,2,1,6,7,5]=>[6,7,8,5,1,4,2,3]=>[5,4,2,1,8,6,7,3]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[7,6,8,2,3,4,1,5]=>[4,8,2,3,1,7,6,5]=>[7,6,8,5,1,4,3,2]=>[5,3,4,1,8,7,6,2]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[4,8,2,3,1,6,7,5]=>[6,7,8,5,1,4,3,2]=>[5,3,4,1,8,6,7,2]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[3,1,4,6,2,7,8,5]=>[8,5,2,1,3,4,6,7]=>[2,5,1,3,8,4,6,7]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[7,8,6,4,3,1,2,5]=>[3,1,4,6,2,8,7,5]=>[7,8,5,2,1,3,4,6]=>[2,5,1,3,8,4,7,6]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,3,1,2,5]=>[3,1,4,8,2,7,6,5]=>[7,6,8,5,2,1,3,4]=>[2,5,1,3,8,7,6,4]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[3,1,4,8,2,6,7,5]=>[6,7,8,5,2,1,3,4]=>[2,5,1,3,8,6,7,4]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[4,1,6,3,2,7,8,5]=>[8,5,2,1,4,3,6,7]=>[2,5,4,1,8,3,6,7]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[7,8,6,3,4,1,2,5]=>[4,1,6,3,2,8,7,5]=>[7,8,5,2,1,4,3,6]=>[2,5,4,1,8,3,7,6]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[8,6,7,3,4,1,2,5]=>[4,1,7,3,2,8,6,5]=>[8,5,2,1,4,3,7,6]=>[2,5,4,1,8,7,3,6]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[7,6,8,3,4,1,2,5]=>[4,1,8,3,2,7,6,5]=>[7,6,8,5,2,1,4,3]=>[2,5,4,1,8,7,6,3]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[4,1,8,3,2,6,7,5]=>[6,7,8,5,2,1,4,3]=>[2,5,4,1,8,6,7,3]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[2,4,1,6,3,7,8,5]=>[8,5,3,1,2,4,6,7]=>[3,1,5,2,8,4,6,7]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,2,1,3,5]=>[2,4,1,6,3,8,7,5]=>[7,8,5,3,1,2,4,6]=>[3,1,5,2,8,4,7,6]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,2,1,3,5]=>[2,4,1,7,3,8,6,5]=>[8,5,3,1,2,4,7,6]=>[3,1,5,2,8,7,4,6]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,2,1,3,5]=>[2,4,1,8,3,7,6,5]=>[7,6,8,5,3,1,2,4]=>[3,1,5,2,8,7,6,4]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[4,1,2,6,3,7,8,5]=>[8,5,3,2,1,4,6,7]=>[2,3,5,1,8,4,6,7]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,1,2,3,5]=>[4,1,2,6,3,8,7,5]=>[7,8,5,3,2,1,4,6]=>[2,3,5,1,8,4,7,6]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,1,2,3,5]=>[4,1,2,7,3,8,6,5]=>[8,5,3,2,1,4,7,6]=>[2,3,5,1,8,7,4,6]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,1,2,3,5]=>[4,1,2,8,3,7,6,5]=>[7,6,8,5,3,2,1,4]=>[2,3,5,1,8,7,6,4]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[4,1,2,8,3,6,7,5]=>[6,7,8,5,3,2,1,4]=>[2,3,5,1,8,6,7,4]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[2,3,6,1,4,7,8,5]=>[8,5,4,1,2,3,6,7]=>[4,1,2,5,8,3,6,7]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[7,8,6,3,2,1,4,5]=>[2,3,6,1,4,8,7,5]=>[7,8,5,4,1,2,3,6]=>[4,1,2,5,8,3,7,6]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[8,6,7,3,2,1,4,5]=>[2,3,7,1,4,8,6,5]=>[8,5,4,1,2,3,7,6]=>[4,1,2,5,8,7,3,6]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[7,6,8,3,2,1,4,5]=>[2,3,8,1,4,7,6,5]=>[7,6,8,5,4,1,2,3]=>[4,1,2,5,8,7,6,3]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[2,3,8,1,4,6,7,5]=>[6,7,8,5,4,1,2,3]=>[4,1,2,5,8,6,7,3]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[3,6,2,1,4,7,8,5]=>[8,5,4,1,3,2,6,7]=>[4,3,1,5,8,2,6,7]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[7,8,6,2,3,1,4,5]=>[3,6,2,1,4,8,7,5]=>[7,8,5,4,1,3,2,6]=>[4,3,1,5,8,2,7,6]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[8,6,7,2,3,1,4,5]=>[3,7,2,1,4,8,6,5]=>[8,5,4,1,3,2,7,6]=>[4,3,1,5,8,7,2,6]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[7,6,8,2,3,1,4,5]=>[3,8,2,1,4,7,6,5]=>[7,6,8,5,4,1,3,2]=>[4,3,1,5,8,7,6,2]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[3,1,6,2,4,7,8,5]=>[8,5,4,2,1,3,6,7]=>[2,4,1,5,8,3,6,7]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[7,8,6,3,1,2,4,5]=>[3,1,6,2,4,8,7,5]=>[7,8,5,4,2,1,3,6]=>[2,4,1,5,8,3,7,6]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[8,6,7,3,1,2,4,5]=>[3,1,7,2,4,8,6,5]=>[8,5,4,2,1,3,7,6]=>[2,4,1,5,8,7,3,6]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[7,6,8,3,1,2,4,5]=>[3,1,8,2,4,7,6,5]=>[7,6,8,5,4,2,1,3]=>[2,4,1,5,8,7,6,3]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[3,1,8,2,4,6,7,5]=>[6,7,8,5,4,2,1,3]=>[2,4,1,5,8,6,7,3]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[7,8,6,2,1,3,4,5]=>[2,6,1,3,4,8,7,5]=>[7,8,5,4,3,1,2,6]=>[3,1,4,5,8,2,7,6]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[7,6,8,2,1,3,4,5]=>[2,8,1,3,4,7,6,5]=>[7,6,8,5,4,3,1,2]=>[3,1,4,5,8,7,6,2]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[2,8,1,3,4,6,7,5]=>[6,7,8,5,4,3,1,2]=>[3,1,4,5,8,6,7,2]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,5]=>[8,5,4,3,2,1,6,7]=>[2,3,4,5,8,1,6,7]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[6,1,2,3,4,8,7,5]=>[7,8,5,4,3,2,1,6]=>[2,3,4,5,8,1,7,6]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[7,1,2,3,4,8,6,5]=>[8,5,4,3,2,1,7,6]=>[2,3,4,5,8,7,1,6]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[8,1,2,3,4,7,6,5]=>[7,6,8,5,4,3,2,1]=>[2,3,4,5,8,7,6,1]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[8,1,2,3,4,6,7,5]=>[6,7,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,1]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,6]=>[8,6,1,2,3,4,5,7]=>[6,1,2,3,4,8,5,7]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[2,3,4,5,8,1,7,6]=>[7,8,6,1,2,3,4,5]=>[6,1,2,3,4,8,7,5]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[8,7,4,5,3,2,1,6]=>[2,3,5,7,4,1,8,6]=>[8,6,1,2,3,5,4,7]=>[6,1,2,5,3,8,4,7]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[8,7,5,3,4,2,1,6]=>[2,4,5,3,7,1,8,6]=>[8,6,1,2,4,3,5,7]=>[6,1,4,2,3,8,5,7]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[8,7,4,3,5,2,1,6]=>[2,5,4,7,3,1,8,6]=>[8,6,1,2,5,3,4,7]=>[6,1,5,3,2,8,4,7]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[8,7,3,4,5,2,1,6]=>[2,5,7,3,4,1,8,6]=>[8,6,1,2,5,4,3,7]=>[6,1,4,5,2,8,3,7]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,2,3,1,6]=>[3,4,2,5,7,1,8,6]=>[8,6,1,3,2,4,5,7]=>[6,3,1,2,4,8,5,7]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[3,5,2,8,4,1,7,6]=>[7,8,6,1,3,2,5,4]=>[6,3,1,5,2,8,7,4]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[4,3,5,2,7,1,8,6]=>[8,6,1,4,2,3,5,7]=>[6,4,2,1,3,8,5,7]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[7,8,5,3,2,4,1,6]=>[4,3,5,2,8,1,7,6]=>[7,8,6,1,4,2,3,5]=>[6,4,2,1,3,8,7,5]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[8,7,5,2,3,4,1,6]=>[4,5,2,3,7,1,8,6]=>[8,6,1,4,3,2,5,7]=>[6,3,4,1,2,8,5,7]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[7,8,5,2,3,4,1,6]=>[4,5,2,3,8,1,7,6]=>[7,8,6,1,4,3,2,5]=>[6,3,4,1,2,8,7,5]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[7,8,4,3,2,5,1,6]=>[5,3,4,8,2,1,7,6]=>[7,8,6,1,5,2,3,4]=>[6,5,2,3,1,8,7,4]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[8,7,3,4,2,5,1,6]=>[5,4,7,3,2,1,8,6]=>[8,6,1,5,2,4,3,7]=>[6,5,4,2,1,8,3,7]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[8,7,4,2,3,5,1,6]=>[5,4,2,7,3,1,8,6]=>[8,6,1,5,3,2,4,7]=>[6,3,5,2,1,8,4,7]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[7,8,4,2,3,5,1,6]=>[5,4,2,8,3,1,7,6]=>[7,8,6,1,5,3,2,4]=>[6,3,5,2,1,8,7,4]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[8,7,2,3,4,5,1,6]=>[5,7,2,3,4,1,8,6]=>[8,6,1,5,4,3,2,7]=>[6,3,4,5,1,8,2,7]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[7,8,5,4,3,1,2,6]=>[3,1,4,5,8,2,7,6]=>[7,8,6,2,1,3,4,5]=>[2,6,1,3,4,8,7,5]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[8,7,5,3,4,1,2,6]=>[4,1,5,3,7,2,8,6]=>[8,6,2,1,4,3,5,7]=>[2,6,4,1,3,8,5,7]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[7,8,5,3,4,1,2,6]=>[4,1,5,3,8,2,7,6]=>[7,8,6,2,1,4,3,5]=>[2,6,4,1,3,8,7,5]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[8,7,4,3,5,1,2,6]=>[5,1,4,7,3,2,8,6]=>[8,6,2,1,5,3,4,7]=>[2,6,5,3,1,8,4,7]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[8,7,3,4,5,1,2,6]=>[5,1,7,3,4,2,8,6]=>[8,6,2,1,5,4,3,7]=>[2,6,4,5,1,8,3,7]
[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[7,8,3,4,5,1,2,6]=>[5,1,8,3,4,2,7,6]=>[7,8,6,2,1,5,4,3]=>[2,6,4,5,1,8,7,3]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[2,4,1,5,8,3,7,6]=>[7,8,6,3,1,2,4,5]=>[3,1,6,2,4,8,7,5]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[7,8,4,5,2,1,3,6]=>[2,5,1,8,4,3,7,6]=>[7,8,6,3,1,2,5,4]=>[3,1,6,5,2,8,7,4]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[8,7,5,4,1,2,3,6]=>[4,1,2,5,7,3,8,6]=>[8,6,3,2,1,4,5,7]=>[2,3,6,1,4,8,5,7]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[8,7,4,5,1,2,3,6]=>[5,1,2,7,4,3,8,6]=>[8,6,3,2,1,5,4,7]=>[2,3,6,5,1,8,4,7]
[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[7,8,4,5,1,2,3,6]=>[5,1,2,8,4,3,7,6]=>[7,8,6,3,2,1,5,4]=>[2,3,6,5,1,8,7,4]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[2,3,5,1,7,4,8,6]=>[8,6,4,1,2,3,5,7]=>[4,1,2,6,3,8,5,7]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[2,3,5,1,8,4,7,6]=>[7,8,6,4,1,2,3,5]=>[4,1,2,6,3,8,7,5]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[8,7,5,2,3,1,4,6]=>[3,5,2,1,7,4,8,6]=>[8,6,4,1,3,2,5,7]=>[4,3,1,6,2,8,5,7]
[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[7,8,5,2,3,1,4,6]=>[3,5,2,1,8,4,7,6]=>[7,8,6,4,1,3,2,5]=>[4,3,1,6,2,8,7,5]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[8,7,5,3,1,2,4,6]=>[3,1,5,2,7,4,8,6]=>[8,6,4,2,1,3,5,7]=>[2,4,1,6,3,8,5,7]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[3,1,5,2,8,4,7,6]=>[7,8,6,4,2,1,3,5]=>[2,4,1,6,3,8,7,5]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[2,5,1,3,7,4,8,6]=>[8,6,4,3,1,2,5,7]=>[3,1,4,6,2,8,5,7]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[5,1,2,3,7,4,8,6]=>[8,6,4,3,2,1,5,7]=>[2,3,4,6,1,8,5,7]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[5,1,2,3,8,4,7,6]=>[7,8,6,4,3,2,1,5]=>[2,3,4,6,1,8,7,5]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[2,3,4,7,1,5,8,6]=>[8,6,5,1,2,3,4,7]=>[5,1,2,3,6,8,4,7]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[2,3,4,8,1,5,7,6]=>[7,8,6,5,1,2,3,4]=>[5,1,2,3,6,8,7,4]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[8,7,3,4,2,1,5,6]=>[2,4,7,3,1,5,8,6]=>[8,6,5,1,2,4,3,7]=>[5,1,4,2,6,8,3,7]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[7,8,3,4,2,1,5,6]=>[2,4,8,3,1,5,7,6]=>[7,8,6,5,1,2,4,3]=>[5,1,4,2,6,8,7,3]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[7,8,3,2,4,1,5,6]=>[4,3,8,2,1,5,7,6]=>[7,8,6,5,1,4,2,3]=>[5,4,2,1,6,8,7,3]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[8,7,2,3,4,1,5,6]=>[4,7,2,3,1,5,8,6]=>[8,6,5,1,4,3,2,7]=>[5,3,4,1,6,8,2,7]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[4,8,2,3,1,5,7,6]=>[7,8,6,5,1,4,3,2]=>[5,3,4,1,6,8,7,2]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[8,7,4,3,1,2,5,6]=>[3,1,4,7,2,5,8,6]=>[8,6,5,2,1,3,4,7]=>[2,5,1,3,6,8,4,7]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[7,8,4,3,1,2,5,6]=>[3,1,4,8,2,5,7,6]=>[7,8,6,5,2,1,3,4]=>[2,5,1,3,6,8,7,4]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[8,7,3,4,1,2,5,6]=>[4,1,7,3,2,5,8,6]=>[8,6,5,2,1,4,3,7]=>[2,5,4,1,6,8,3,7]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[7,8,3,4,1,2,5,6]=>[4,1,8,3,2,5,7,6]=>[7,8,6,5,2,1,4,3]=>[2,5,4,1,6,8,7,3]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[2,4,1,8,3,5,7,6]=>[7,8,6,5,3,1,2,4]=>[3,1,5,2,6,8,7,4]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[8,7,4,1,2,3,5,6]=>[4,1,2,7,3,5,8,6]=>[8,6,5,3,2,1,4,7]=>[2,3,5,1,6,8,4,7]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[4,1,2,8,3,5,7,6]=>[7,8,6,5,3,2,1,4]=>[2,3,5,1,6,8,7,4]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[2,3,8,1,4,5,7,6]=>[7,8,6,5,4,1,2,3]=>[4,1,2,5,6,8,7,3]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>[8,7,2,3,1,4,5,6]=>[3,7,2,1,4,5,8,6]=>[8,6,5,4,1,3,2,7]=>[4,3,1,5,6,8,2,7]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[3,8,2,1,4,5,7,6]=>[7,8,6,5,4,1,3,2]=>[4,3,1,5,6,8,7,2]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[7,8,3,1,2,4,5,6]=>[3,1,8,2,4,5,7,6]=>[7,8,6,5,4,2,1,3]=>[2,4,1,5,6,8,7,3]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[8,7,2,1,3,4,5,6]=>[2,7,1,3,4,5,8,6]=>[8,6,5,4,3,1,2,7]=>[3,1,4,5,6,8,2,7]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[2,8,1,3,4,5,7,6]=>[7,8,6,5,4,3,1,2]=>[3,1,4,5,6,8,7,2]
[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,6]=>[8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,7]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,7,6]=>[7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,7]=>[8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,6]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[8,5,6,4,3,2,1,7]=>[2,3,4,6,8,5,1,7]=>[8,7,1,2,3,4,6,5]=>[7,1,2,3,6,4,8,5]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[8,5,4,6,3,2,1,7]=>[2,3,6,5,8,4,1,7]=>[8,7,1,2,3,6,4,5]=>[7,1,2,6,4,3,8,5]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[2,3,6,8,4,5,1,7]=>[8,7,1,2,3,6,5,4]=>[7,1,2,5,6,3,8,4]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[8,6,5,3,4,2,1,7]=>[2,4,5,3,6,8,1,7]=>[8,7,1,2,4,3,5,6]=>[7,1,4,2,3,5,8,6]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[8,5,6,3,4,2,1,7]=>[2,4,6,3,8,5,1,7]=>[8,7,1,2,4,3,6,5]=>[7,1,4,2,6,3,8,5]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[8,5,4,3,6,2,1,7]=>[2,6,4,5,8,3,1,7]=>[8,7,1,2,6,3,4,5]=>[7,1,6,3,4,2,8,5]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>[8,4,3,5,6,2,1,7]=>[2,6,4,8,3,5,1,7]=>[8,7,1,2,6,5,3,4]=>[7,1,5,3,6,2,8,4]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[8,3,4,5,6,2,1,7]=>[2,6,8,3,4,5,1,7]=>[8,7,1,2,6,5,4,3]=>[7,1,4,5,6,2,8,3]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,2,3,1,7]=>[3,4,2,5,6,8,1,7]=>[8,7,1,3,2,4,5,6]=>[7,3,1,2,4,5,8,6]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,2,3,1,7]=>[3,4,2,6,8,5,1,7]=>[8,7,1,3,2,4,6,5]=>[7,3,1,2,6,4,8,5]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,2,3,1,7]=>[3,5,2,6,4,8,1,7]=>[8,7,1,3,2,5,4,6]=>[7,3,1,5,2,4,8,6]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[8,6,5,3,2,4,1,7]=>[4,3,5,2,6,8,1,7]=>[8,7,1,4,2,3,5,6]=>[7,4,2,1,3,5,8,6]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[8,5,6,2,3,4,1,7]=>[4,6,2,3,8,5,1,7]=>[8,7,1,4,3,2,6,5]=>[7,3,4,1,6,2,8,5]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[8,6,4,3,2,5,1,7]=>[5,3,4,6,2,8,1,7]=>[8,7,1,5,2,3,4,6]=>[7,5,2,3,1,4,8,6]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[8,6,3,2,4,5,1,7]=>[5,3,6,2,4,8,1,7]=>[8,7,1,5,4,2,3,6]=>[7,4,2,5,1,3,8,6]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[8,5,4,3,2,6,1,7]=>[6,3,4,5,8,2,1,7]=>[8,7,1,6,2,3,4,5]=>[7,6,2,3,4,1,8,5]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[8,4,5,3,2,6,1,7]=>[6,3,5,8,4,2,1,7]=>[8,7,1,6,2,3,5,4]=>[7,6,2,5,3,1,8,4]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[8,4,3,5,2,6,1,7]=>[6,5,4,8,3,2,1,7]=>[8,7,1,6,2,5,3,4]=>[7,6,5,3,2,1,8,4]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[8,3,4,5,2,6,1,7]=>[6,5,8,3,4,2,1,7]=>[8,7,1,6,2,5,4,3]=>[7,6,4,5,2,1,8,3]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[8,3,4,2,5,6,1,7]=>[6,4,8,3,2,5,1,7]=>[8,7,1,6,5,2,4,3]=>[7,5,4,2,6,1,8,3]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>[8,4,2,3,5,6,1,7]=>[6,4,2,8,3,5,1,7]=>[8,7,1,6,5,3,2,4]=>[7,3,5,2,6,1,8,4]
[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[8,2,3,4,5,6,1,7]=>[6,8,2,3,4,5,1,7]=>[8,7,1,6,5,4,3,2]=>[7,3,4,5,6,1,8,2]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,3,1,2,7]=>[3,1,4,5,6,8,2,7]=>[8,7,2,1,3,4,5,6]=>[2,7,1,3,4,5,8,6]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,3,1,2,7]=>[3,1,5,6,4,8,2,7]=>[8,7,2,1,3,5,4,6]=>[2,7,1,5,3,4,8,6]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[8,5,4,6,3,1,2,7]=>[3,1,6,5,8,4,2,7]=>[8,7,2,1,3,6,4,5]=>[2,7,1,6,4,3,8,5]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[8,6,5,3,4,1,2,7]=>[4,1,5,3,6,8,2,7]=>[8,7,2,1,4,3,5,6]=>[2,7,4,1,3,5,8,6]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[4,1,6,3,8,5,2,7]=>[8,7,2,1,4,3,6,5]=>[2,7,4,1,6,3,8,5]
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[8,6,4,3,5,1,2,7]=>[5,1,4,6,3,8,2,7]=>[8,7,2,1,5,3,4,6]=>[2,7,5,3,1,4,8,6]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[8,6,3,4,5,1,2,7]=>[5,1,6,3,4,8,2,7]=>[8,7,2,1,5,4,3,6]=>[2,7,4,5,1,3,8,6]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>[8,5,4,3,6,1,2,7]=>[6,1,4,5,8,3,2,7]=>[8,7,2,1,6,3,4,5]=>[2,7,6,3,4,1,8,5]
[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[8,3,4,5,6,1,2,7]=>[6,1,8,3,4,5,2,7]=>[8,7,2,1,6,5,4,3]=>[2,7,4,5,6,1,8,3]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,2,1,3,7]=>[2,4,1,6,8,5,3,7]=>[8,7,3,1,2,4,6,5]=>[3,1,7,2,6,4,8,5]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[8,5,4,6,2,1,3,7]=>[2,6,1,5,8,4,3,7]=>[8,7,3,1,2,6,4,5]=>[3,1,7,6,4,2,8,5]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,1,2,3,7]=>[4,1,2,5,6,8,3,7]=>[8,7,3,2,1,4,5,6]=>[2,3,7,1,4,5,8,6]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,1,2,3,7]=>[4,1,2,6,8,5,3,7]=>[8,7,3,2,1,4,6,5]=>[2,3,7,1,6,4,8,5]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[8,6,4,5,1,2,3,7]=>[5,1,2,6,4,8,3,7]=>[8,7,3,2,1,5,4,6]=>[2,3,7,5,1,4,8,6]
[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[8,4,5,6,1,2,3,7]=>[6,1,2,8,4,5,3,7]=>[8,7,3,2,1,6,5,4]=>[2,3,7,5,6,1,8,4]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[8,6,5,3,2,1,4,7]=>[2,3,5,1,6,8,4,7]=>[8,7,4,1,2,3,5,6]=>[4,1,2,7,3,5,8,6]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[2,3,6,1,8,5,4,7]=>[8,7,4,1,2,3,6,5]=>[4,1,2,7,6,3,8,5]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[3,6,2,1,8,5,4,7]=>[8,7,4,1,3,2,6,5]=>[4,3,1,7,6,2,8,5]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[8,6,5,3,1,2,4,7]=>[3,1,5,2,6,8,4,7]=>[8,7,4,2,1,3,5,6]=>[2,4,1,7,3,5,8,6]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[8,5,6,3,1,2,4,7]=>[3,1,6,2,8,5,4,7]=>[8,7,4,2,1,3,6,5]=>[2,4,1,7,6,3,8,5]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[5,1,2,3,6,8,4,7]=>[8,7,4,3,2,1,5,6]=>[2,3,4,7,1,5,8,6]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[6,1,2,3,8,5,4,7]=>[8,7,4,3,2,1,6,5]=>[2,3,4,7,6,1,8,5]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[2,3,4,6,1,8,5,7]=>[8,7,5,1,2,3,4,6]=>[5,1,2,3,7,4,8,6]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[2,4,6,3,1,8,5,7]=>[8,7,5,1,2,4,3,6]=>[5,1,4,2,7,3,8,6]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[8,6,3,2,4,1,5,7]=>[4,3,6,2,1,8,5,7]=>[8,7,5,1,4,2,3,6]=>[5,4,2,1,7,3,8,6]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[8,6,4,3,1,2,5,7]=>[3,1,4,6,2,8,5,7]=>[8,7,5,2,1,3,4,6]=>[2,5,1,3,7,4,8,6]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[2,4,1,6,3,8,5,7]=>[8,7,5,3,1,2,4,6]=>[3,1,5,2,7,4,8,6]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[8,6,4,1,2,3,5,7]=>[4,1,2,6,3,8,5,7]=>[8,7,5,3,2,1,4,6]=>[2,3,5,1,7,4,8,6]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[8,6,2,3,1,4,5,7]=>[3,6,2,1,4,8,5,7]=>[8,7,5,4,1,3,2,6]=>[4,3,1,5,7,2,8,6]
[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[8,6,1,2,3,4,5,7]=>[6,1,2,3,4,8,5,7]=>[8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,6]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[8,5,4,3,2,1,6,7]=>[2,3,4,5,8,1,6,7]=>[8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,5]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[8,4,5,3,2,1,6,7]=>[2,3,5,8,4,1,6,7]=>[8,7,6,1,2,3,5,4]=>[6,1,2,5,3,7,8,4]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[8,4,3,5,2,1,6,7]=>[2,5,4,8,3,1,6,7]=>[8,7,6,1,2,5,3,4]=>[6,1,5,3,2,7,8,4]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[2,5,8,3,4,1,6,7]=>[8,7,6,1,2,5,4,3]=>[6,1,4,5,2,7,8,3]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[8,4,5,2,3,1,6,7]=>[3,5,2,8,4,1,6,7]=>[8,7,6,1,3,2,5,4]=>[6,3,1,5,2,7,8,4]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[8,5,3,2,4,1,6,7]=>[4,3,5,2,8,1,6,7]=>[8,7,6,1,4,2,3,5]=>[6,4,2,1,3,7,8,5]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[8,5,2,3,4,1,6,7]=>[4,5,2,3,8,1,6,7]=>[8,7,6,1,4,3,2,5]=>[6,3,4,1,2,7,8,5]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[8,4,2,3,5,1,6,7]=>[5,4,2,8,3,1,6,7]=>[8,7,6,1,5,3,2,4]=>[6,3,5,2,1,7,8,4]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>[8,3,2,4,5,1,6,7]=>[5,3,8,2,4,1,6,7]=>[8,7,6,1,5,4,2,3]=>[6,4,2,5,1,7,8,3]
[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[8,2,3,4,5,1,6,7]=>[5,8,2,3,4,1,6,7]=>[8,7,6,1,5,4,3,2]=>[6,3,4,5,1,7,8,2]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[8,5,4,3,1,2,6,7]=>[3,1,4,5,8,2,6,7]=>[8,7,6,2,1,3,4,5]=>[2,6,1,3,4,7,8,5]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[8,5,3,4,1,2,6,7]=>[4,1,5,3,8,2,6,7]=>[8,7,6,2,1,4,3,5]=>[2,6,4,1,3,7,8,5]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>[8,4,3,5,1,2,6,7]=>[5,1,4,8,3,2,6,7]=>[8,7,6,2,1,5,3,4]=>[2,6,5,3,1,7,8,4]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[2,4,1,5,8,3,6,7]=>[8,7,6,3,1,2,4,5]=>[3,1,6,2,4,7,8,5]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[8,5,4,1,2,3,6,7]=>[4,1,2,5,8,3,6,7]=>[8,7,6,3,2,1,4,5]=>[2,3,6,1,4,7,8,5]
[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[8,4,5,1,2,3,6,7]=>[5,1,2,8,4,3,6,7]=>[8,7,6,3,2,1,5,4]=>[2,3,6,5,1,7,8,4]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[8,5,3,2,1,4,6,7]=>[2,3,5,1,8,4,6,7]=>[8,7,6,4,1,2,3,5]=>[4,1,2,6,3,7,8,5]
[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>[8,5,2,3,1,4,6,7]=>[3,5,2,1,8,4,6,7]=>[8,7,6,4,1,3,2,5]=>[4,3,1,6,2,7,8,5]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[8,5,3,1,2,4,6,7]=>[3,1,5,2,8,4,6,7]=>[8,7,6,4,2,1,3,5]=>[2,4,1,6,3,7,8,5]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[8,5,2,1,3,4,6,7]=>[2,5,1,3,8,4,6,7]=>[8,7,6,4,3,1,2,5]=>[3,1,4,6,2,7,8,5]
[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[5,1,2,3,8,4,6,7]=>[8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,5]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[2,3,4,8,1,5,6,7]=>[8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,4]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[8,3,4,2,1,5,6,7]=>[2,4,8,3,1,5,6,7]=>[8,7,6,5,1,2,4,3]=>[5,1,4,2,6,7,8,3]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[8,4,2,3,1,5,6,7]=>[3,4,2,8,1,5,6,7]=>[8,7,6,5,1,3,2,4]=>[5,3,1,2,6,7,8,4]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[8,3,2,4,1,5,6,7]=>[4,3,8,2,1,5,6,7]=>[8,7,6,5,1,4,2,3]=>[5,4,2,1,6,7,8,3]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[4,8,2,3,1,5,6,7]=>[8,7,6,5,1,4,3,2]=>[5,3,4,1,6,7,8,2]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[8,4,3,1,2,5,6,7]=>[3,1,4,8,2,5,6,7]=>[8,7,6,5,2,1,3,4]=>[2,5,1,3,6,7,8,4]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[8,3,4,1,2,5,6,7]=>[4,1,8,3,2,5,6,7]=>[8,7,6,5,2,1,4,3]=>[2,5,4,1,6,7,8,3]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[8,4,2,1,3,5,6,7]=>[2,4,1,8,3,5,6,7]=>[8,7,6,5,3,1,2,4]=>[3,1,5,2,6,7,8,4]
[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[8,4,1,2,3,5,6,7]=>[4,1,2,8,3,5,6,7]=>[8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,4]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[2,3,8,1,4,5,6,7]=>[8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,3]
[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>[3,8,2,1,4,5,6,7]=>[8,7,6,5,4,1,3,2]=>[4,3,1,5,6,7,8,2]
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[3,1,8,2,4,5,6,7]=>[8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,3]
[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[8,2,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,7]=>[8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,2]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[2,3,4,5,7,6,1,8]=>[6,7,1,2,3,4,5,8]=>[7,1,2,3,4,6,5,8]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[2,3,4,6,7,5,1,8]=>[7,1,2,3,4,6,5,8]=>[7,1,2,3,6,4,5,8]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[2,3,4,7,6,5,1,8]=>[6,5,7,1,2,3,4,8]=>[7,1,2,3,6,5,4,8]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[2,3,4,7,5,6,1,8]=>[5,6,7,1,2,3,4,8]=>[7,1,2,3,5,6,4,8]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[2,3,5,6,4,7,1,8]=>[7,1,2,3,5,4,6,8]=>[7,1,2,5,3,4,6,8]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[7,5,4,6,3,2,1,8]=>[2,3,6,5,7,4,1,8]=>[7,1,2,3,6,4,5,8]=>[7,1,2,6,4,3,5,8]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[2,3,6,7,4,5,1,8]=>[7,1,2,3,6,5,4,8]=>[7,1,2,5,6,3,4,8]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[2,3,7,6,5,4,1,8]=>[5,6,4,7,1,2,3,8]=>[7,1,2,6,5,4,3,8]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[5,4,6,7,3,2,1,8]=>[2,3,7,5,4,6,1,8]=>[5,4,6,7,1,2,3,8]=>[7,1,2,5,4,6,3,8]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[2,3,7,4,5,6,1,8]=>[4,5,6,7,1,2,3,8]=>[7,1,2,4,5,6,3,8]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[7,6,5,3,4,2,1,8]=>[2,4,5,3,6,7,1,8]=>[7,1,2,4,3,5,6,8]=>[7,1,4,2,3,5,6,8]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[7,6,4,3,5,2,1,8]=>[2,5,4,6,3,7,1,8]=>[7,1,2,5,3,4,6,8]=>[7,1,5,3,2,4,6,8]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[7,5,4,3,6,2,1,8]=>[2,6,4,5,7,3,1,8]=>[7,1,2,6,3,4,5,8]=>[7,1,6,3,4,2,5,8]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[7,4,5,3,6,2,1,8]=>[2,6,5,7,4,3,1,8]=>[7,1,2,6,3,5,4,8]=>[7,1,6,5,3,2,4,8]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>[7,4,3,5,6,2,1,8]=>[2,6,4,7,3,5,1,8]=>[7,1,2,6,5,3,4,8]=>[7,1,5,3,6,2,4,8]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[7,3,4,5,6,2,1,8]=>[2,6,7,3,4,5,1,8]=>[7,1,2,6,5,4,3,8]=>[7,1,4,5,6,2,3,8]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[2,7,4,5,6,3,1,8]=>[6,3,4,5,7,1,2,8]=>[7,1,6,3,4,5,2,8]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>[5,6,4,3,7,2,1,8]=>[2,7,4,6,5,3,1,8]=>[5,6,3,4,7,1,2,8]=>[7,1,6,3,5,4,2,8]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>[6,5,3,4,7,2,1,8]=>[2,7,5,3,6,4,1,8]=>[6,4,3,5,7,1,2,8]=>[7,1,4,6,3,5,2,8]
[[.,[.,[[[[.,.],.],[.,.]],.]]],.]=>[6,3,4,5,7,2,1,8]=>[2,7,6,3,4,5,1,8]=>[6,5,4,3,7,1,2,8]=>[7,1,4,5,6,3,2,8]
[[.,[.,[[[[[.,.],.],.],.],.]]],.]=>[3,4,5,6,7,2,1,8]=>[2,7,3,4,5,6,1,8]=>[3,4,5,6,7,1,2,8]=>[7,1,3,4,5,6,2,8]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[7,6,5,4,2,3,1,8]=>[3,4,2,5,6,7,1,8]=>[7,1,3,2,4,5,6,8]=>[7,3,1,2,4,5,6,8]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[3,4,2,7,5,6,1,8]=>[5,6,7,1,3,2,4,8]=>[7,3,1,2,5,6,4,8]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[3,5,2,6,4,7,1,8]=>[7,1,3,2,5,4,6,8]=>[7,3,1,5,2,4,6,8]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[3,5,2,7,4,6,1,8]=>[6,7,1,3,2,5,4,8]=>[7,3,1,5,2,6,4,8]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[3,7,2,6,5,4,1,8]=>[5,6,4,7,1,3,2,8]=>[7,3,1,6,5,4,2,8]
[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[4,5,6,7,2,3,1,8]=>[3,7,2,4,5,6,1,8]=>[4,5,6,7,1,3,2,8]=>[7,3,1,4,5,6,2,8]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[7,6,5,3,2,4,1,8]=>[4,3,5,2,6,7,1,8]=>[7,1,4,2,3,5,6,8]=>[7,4,2,1,3,5,6,8]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[6,5,7,3,2,4,1,8]=>[4,3,7,2,6,5,1,8]=>[6,5,7,1,4,2,3,8]=>[7,4,2,1,6,5,3,8]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[4,3,7,2,5,6,1,8]=>[5,6,7,1,4,2,3,8]=>[7,4,2,1,5,6,3,8]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[4,5,2,3,6,7,1,8]=>[7,1,4,3,2,5,6,8]=>[7,3,4,1,2,5,6,8]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[4,5,2,3,7,6,1,8]=>[6,7,1,4,3,2,5,8]=>[7,3,4,1,2,6,5,8]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[4,7,2,3,6,5,1,8]=>[6,5,7,1,4,3,2,8]=>[7,3,4,1,6,5,2,8]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[7,6,4,2,3,5,1,8]=>[5,4,2,6,3,7,1,8]=>[7,1,5,3,2,4,6,8]=>[7,3,5,2,1,4,6,8]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[7,6,3,2,4,5,1,8]=>[5,3,6,2,4,7,1,8]=>[7,1,5,4,2,3,6,8]=>[7,4,2,5,1,3,6,8]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[7,5,4,3,2,6,1,8]=>[6,3,4,5,7,2,1,8]=>[7,1,6,2,3,4,5,8]=>[7,6,2,3,4,1,5,8]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[7,4,3,5,2,6,1,8]=>[6,5,4,7,3,2,1,8]=>[7,1,6,2,5,3,4,8]=>[7,6,5,3,2,1,4,8]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>[7,3,4,5,2,6,1,8]=>[6,5,7,3,4,2,1,8]=>[7,1,6,2,5,4,3,8]=>[7,6,4,5,2,1,3,8]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[7,4,5,2,3,6,1,8]=>[6,5,2,7,4,3,1,8]=>[7,1,6,3,2,5,4,8]=>[7,3,6,5,2,1,4,8]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[7,5,3,2,4,6,1,8]=>[6,3,5,2,7,4,1,8]=>[7,1,6,4,2,3,5,8]=>[7,4,2,6,3,1,5,8]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>[7,4,2,3,5,6,1,8]=>[6,4,2,7,3,5,1,8]=>[7,1,6,5,3,2,4,8]=>[7,3,5,2,6,1,4,8]
[[.,[[[[.,[.,.]],.],.],[.,.]]],.]=>[7,3,2,4,5,6,1,8]=>[6,3,7,2,4,5,1,8]=>[7,1,6,5,4,2,3,8]=>[7,4,2,5,6,1,3,8]
[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[7,2,3,4,5,6,1,8]=>[6,7,2,3,4,5,1,8]=>[7,1,6,5,4,3,2,8]=>[7,3,4,5,6,1,2,8]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>[6,5,4,3,2,7,1,8]=>[7,3,4,5,6,2,1,8]=>[6,2,3,4,5,7,1,8]=>[7,6,2,3,4,5,1,8]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[5,6,3,4,2,7,1,8]=>[7,4,6,3,5,2,1,8]=>[5,6,2,4,3,7,1,8]=>[7,6,4,2,5,3,1,8]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[6,4,3,5,2,7,1,8]=>[7,5,4,6,3,2,1,8]=>[6,2,5,3,4,7,1,8]=>[7,6,5,3,2,4,1,8]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[6,3,4,5,2,7,1,8]=>[7,5,6,3,4,2,1,8]=>[6,2,5,4,3,7,1,8]=>[7,6,4,5,2,3,1,8]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>[5,3,4,6,2,7,1,8]=>[7,6,5,3,4,2,1,8]=>[5,4,3,6,2,7,1,8]=>[7,6,4,5,3,2,1,8]
[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8]=>[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>[6,5,4,2,3,7,1,8]=>[7,4,2,5,6,3,1,8]=>[6,3,2,4,5,7,1,8]=>[7,3,6,2,4,5,1,8]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>[6,4,5,2,3,7,1,8]=>[7,5,2,6,4,3,1,8]=>[6,3,2,5,4,7,1,8]=>[7,3,6,5,2,4,1,8]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>[5,4,6,2,3,7,1,8]=>[7,6,2,5,4,3,1,8]=>[5,4,6,3,2,7,1,8]=>[7,3,6,5,4,2,1,8]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[6,5,3,2,4,7,1,8]=>[7,3,5,2,6,4,1,8]=>[6,4,2,3,5,7,1,8]=>[7,4,2,6,3,5,1,8]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>[6,3,4,2,5,7,1,8]=>[7,4,6,3,2,5,1,8]=>[6,5,2,4,3,7,1,8]=>[7,5,4,2,6,3,1,8]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[6,4,2,3,5,7,1,8]=>[7,4,2,6,3,5,1,8]=>[6,5,3,2,4,7,1,8]=>[7,3,5,2,6,4,1,8]
[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[6,2,3,4,5,7,1,8]=>[7,6,2,3,4,5,1,8]=>[6,5,4,3,2,7,1,8]=>[7,3,4,5,6,2,1,8]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[7,3,4,5,2,6,1,8]=>[5,2,3,4,6,7,1,8]=>[7,5,2,3,4,6,1,8]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.]=>[4,5,3,2,6,7,1,8]=>[7,3,5,4,2,6,1,8]=>[4,5,2,3,6,7,1,8]=>[7,5,2,4,3,6,1,8]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[5,3,4,2,6,7,1,8]=>[7,4,5,3,2,6,1,8]=>[5,2,4,3,6,7,1,8]=>[7,5,4,2,3,6,1,8]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>[5,3,2,4,6,7,1,8]=>[7,3,5,2,4,6,1,8]=>[5,4,2,3,6,7,1,8]=>[7,4,2,5,3,6,1,8]
[[.,[[[[.,[[.,.],.]],.],.],.]],.]=>[3,4,2,5,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[3,4,2,5,6,7,1,8]=>[7,4,3,2,5,6,1,8]
[[.,[[[[[.,.],[.,.]],.],.],.]],.]=>[4,2,3,5,6,7,1,8]=>[7,4,2,3,5,6,1,8]=>[4,3,2,5,6,7,1,8]=>[7,3,4,2,5,6,1,8]
[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[3,2,4,5,6,7,1,8]=>[7,3,2,4,5,6,1,8]=>[3,2,4,5,6,7,1,8]=>[7,3,2,4,5,6,1,8]
[[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[7,6,5,4,3,1,2,8]=>[3,1,4,5,6,7,2,8]=>[7,2,1,3,4,5,6,8]=>[2,7,1,3,4,5,6,8]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,3,1,2,8]=>[3,1,4,7,5,6,2,8]=>[5,6,7,2,1,3,4,8]=>[2,7,1,3,5,6,4,8]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,3,1,2,8]=>[3,1,7,5,4,6,2,8]=>[5,4,6,7,2,1,3,8]=>[2,7,1,5,4,6,3,8]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[4,5,6,7,3,1,2,8]=>[3,1,7,4,5,6,2,8]=>[4,5,6,7,2,1,3,8]=>[2,7,1,4,5,6,3,8]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[7,6,5,3,4,1,2,8]=>[4,1,5,3,6,7,2,8]=>[7,2,1,4,3,5,6,8]=>[2,7,4,1,3,5,6,8]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[7,5,6,3,4,1,2,8]=>[4,1,6,3,7,5,2,8]=>[7,2,1,4,3,6,5,8]=>[2,7,4,1,6,3,5,8]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>[6,7,4,3,5,1,2,8]=>[5,1,4,7,3,6,2,8]=>[6,7,2,1,5,3,4,8]=>[2,7,5,3,1,6,4,8]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[7,4,5,3,6,1,2,8]=>[6,1,5,7,4,3,2,8]=>[7,2,1,6,3,5,4,8]=>[2,7,6,5,3,1,4,8]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>[6,4,5,3,7,1,2,8]=>[7,1,5,6,4,3,2,8]=>[6,3,5,4,7,2,1,8]=>[2,7,6,5,3,4,1,8]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>[5,4,6,3,7,1,2,8]=>[7,1,6,5,4,3,2,8]=>[5,4,6,3,7,2,1,8]=>[2,7,6,5,4,3,1,8]
[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[5,6,3,4,7,1,2,8]=>[7,1,6,3,5,4,2,8]=>[5,6,4,3,7,2,1,8]=>[2,7,4,6,5,3,1,8]
[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[6,3,4,5,7,1,2,8]=>[7,1,6,3,4,5,2,8]=>[6,5,4,3,7,2,1,8]=>[2,7,4,5,6,3,1,8]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[3,4,5,6,7,1,2,8]=>[7,1,3,4,5,6,2,8]=>[3,4,5,6,7,2,1,8]=>[2,7,3,4,5,6,1,8]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,2,1,3,8]=>[2,4,1,5,6,7,3,8]=>[7,3,1,2,4,5,6,8]=>[3,1,7,2,4,5,6,8]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>[6,7,5,4,2,1,3,8]=>[2,4,1,5,7,6,3,8]=>[6,7,3,1,2,4,5,8]=>[3,1,7,2,4,6,5,8]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,2,1,3,8]=>[2,4,1,7,5,6,3,8]=>[5,6,7,3,1,2,4,8]=>[3,1,7,2,5,6,4,8]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[7,6,4,5,2,1,3,8]=>[2,5,1,6,4,7,3,8]=>[7,3,1,2,5,4,6,8]=>[3,1,7,5,2,4,6,8]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,2,1,3,8]=>[2,6,1,5,7,4,3,8]=>[7,3,1,2,6,4,5,8]=>[3,1,7,6,4,2,5,8]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,2,1,3,8]=>[2,7,1,5,4,6,3,8]=>[5,4,6,7,3,1,2,8]=>[3,1,7,5,4,6,2,8]
[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[4,5,6,7,2,1,3,8]=>[2,7,1,4,5,6,3,8]=>[4,5,6,7,3,1,2,8]=>[3,1,7,4,5,6,2,8]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,1,2,3,8]=>[4,1,2,5,6,7,3,8]=>[7,3,2,1,4,5,6,8]=>[2,3,7,1,4,5,6,8]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>[6,7,5,4,1,2,3,8]=>[4,1,2,5,7,6,3,8]=>[6,7,3,2,1,4,5,8]=>[2,3,7,1,4,6,5,8]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[7,5,6,4,1,2,3,8]=>[4,1,2,6,7,5,3,8]=>[7,3,2,1,4,6,5,8]=>[2,3,7,1,6,4,5,8]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[7,6,4,5,1,2,3,8]=>[5,1,2,6,4,7,3,8]=>[7,3,2,1,5,4,6,8]=>[2,3,7,5,1,4,6,8]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[5,6,4,7,1,2,3,8]=>[7,1,2,6,5,4,3,8]=>[5,6,4,7,3,2,1,8]=>[2,3,7,6,5,4,1,8]
[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[6,4,5,7,1,2,3,8]=>[7,1,2,6,4,5,3,8]=>[6,5,4,7,3,2,1,8]=>[2,3,7,5,6,4,1,8]
[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[4,5,6,7,1,2,3,8]=>[7,1,2,4,5,6,3,8]=>[4,5,6,7,3,2,1,8]=>[2,3,7,4,5,6,1,8]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[7,6,5,2,3,1,4,8]=>[3,5,2,1,6,7,4,8]=>[7,4,1,3,2,5,6,8]=>[4,3,1,7,2,5,6,8]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[7,5,6,2,3,1,4,8]=>[3,6,2,1,7,5,4,8]=>[7,4,1,3,2,6,5,8]=>[4,3,1,7,6,2,5,8]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[7,6,5,2,1,3,4,8]=>[2,5,1,3,6,7,4,8]=>[7,4,3,1,2,5,6,8]=>[3,1,4,7,2,5,6,8]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[7,5,6,2,1,3,4,8]=>[2,6,1,3,7,5,4,8]=>[7,4,3,1,2,6,5,8]=>[3,1,4,7,6,2,5,8]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[5,1,2,3,6,7,4,8]=>[7,4,3,2,1,5,6,8]=>[2,3,4,7,1,5,6,8]
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[6,7,5,1,2,3,4,8]=>[5,1,2,3,7,6,4,8]=>[6,7,4,3,2,1,5,8]=>[2,3,4,7,1,6,5,8]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[6,1,2,3,7,5,4,8]=>[7,4,3,2,1,6,5,8]=>[2,3,4,7,6,1,5,8]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[7,1,2,3,6,5,4,8]=>[6,5,7,4,3,2,1,8]=>[2,3,4,7,6,5,1,8]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[7,1,2,3,5,6,4,8]=>[5,6,7,4,3,2,1,8]=>[2,3,4,7,5,6,1,8]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[7,6,4,3,2,1,5,8]=>[2,3,4,6,1,7,5,8]=>[7,5,1,2,3,4,6,8]=>[5,1,2,3,7,4,6,8]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[6,7,4,3,2,1,5,8]=>[2,3,4,7,1,6,5,8]=>[6,7,5,1,2,3,4,8]=>[5,1,2,3,7,6,4,8]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>[7,6,3,4,2,1,5,8]=>[2,4,6,3,1,7,5,8]=>[7,5,1,2,4,3,6,8]=>[5,1,4,2,7,3,6,8]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>[7,6,4,2,3,1,5,8]=>[3,4,2,6,1,7,5,8]=>[7,5,1,3,2,4,6,8]=>[5,3,1,2,7,4,6,8]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>[6,7,4,2,3,1,5,8]=>[3,4,2,7,1,6,5,8]=>[6,7,5,1,3,2,4,8]=>[5,3,1,2,7,6,4,8]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[7,6,3,2,4,1,5,8]=>[4,3,6,2,1,7,5,8]=>[7,5,1,4,2,3,6,8]=>[5,4,2,1,7,3,6,8]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[6,7,4,3,1,2,5,8]=>[3,1,4,7,2,6,5,8]=>[6,7,5,2,1,3,4,8]=>[2,5,1,3,7,6,4,8]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[7,6,4,2,1,3,5,8]=>[2,4,1,6,3,7,5,8]=>[7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,6,8]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[7,6,4,1,2,3,5,8]=>[4,1,2,6,3,7,5,8]=>[7,5,3,2,1,4,6,8]=>[2,3,5,1,7,4,6,8]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>[7,6,2,3,1,4,5,8]=>[3,6,2,1,4,7,5,8]=>[7,5,4,1,3,2,6,8]=>[4,3,1,5,7,2,6,8]
[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[7,6,1,2,3,4,5,8]=>[6,1,2,3,4,7,5,8]=>[7,5,4,3,2,1,6,8]=>[2,3,4,5,7,1,6,8]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>[7,1,2,3,4,6,5,8]=>[6,7,5,4,3,2,1,8]=>[2,3,4,5,7,6,1,8]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[7,3,4,5,2,1,6,8]=>[2,5,7,3,4,1,6,8]=>[7,6,1,2,5,4,3,8]=>[6,1,4,5,2,7,3,8]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[7,5,3,2,4,1,6,8]=>[4,3,5,2,7,1,6,8]=>[7,6,1,4,2,3,5,8]=>[6,4,2,1,3,7,5,8]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[7,5,2,3,4,1,6,8]=>[4,5,2,3,7,1,6,8]=>[7,6,1,4,3,2,5,8]=>[6,3,4,1,2,7,5,8]
[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[7,3,4,5,1,2,6,8]=>[5,1,7,3,4,2,6,8]=>[7,6,2,1,5,4,3,8]=>[2,6,4,5,1,7,3,8]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[7,4,5,2,1,3,6,8]=>[2,5,1,7,4,3,6,8]=>[7,6,3,1,2,5,4,8]=>[3,1,6,5,2,7,4,8]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[7,5,4,1,2,3,6,8]=>[4,1,2,5,7,3,6,8]=>[7,6,3,2,1,4,5,8]=>[2,3,6,1,4,7,5,8]
[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[7,4,5,1,2,3,6,8]=>[5,1,2,7,4,3,6,8]=>[7,6,3,2,1,5,4,8]=>[2,3,6,5,1,7,4,8]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,6,8]=>[7,6,4,2,1,3,5,8]=>[2,4,1,6,3,7,5,8]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[7,5,2,1,3,4,6,8]=>[2,5,1,3,7,4,6,8]=>[7,6,4,3,1,2,5,8]=>[3,1,4,6,2,7,5,8]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[7,5,1,2,3,4,6,8]=>[5,1,2,3,7,4,6,8]=>[7,6,4,3,2,1,5,8]=>[2,3,4,6,1,7,5,8]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[7,4,3,2,1,5,6,8]=>[2,3,4,7,1,5,6,8]=>[7,6,5,1,2,3,4,8]=>[5,1,2,3,6,7,4,8]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[7,4,2,3,1,5,6,8]=>[3,4,2,7,1,5,6,8]=>[7,6,5,1,3,2,4,8]=>[5,3,1,2,6,7,4,8]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>[7,3,2,4,1,5,6,8]=>[4,3,7,2,1,5,6,8]=>[7,6,5,1,4,2,3,8]=>[5,4,2,1,6,7,3,8]
[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[7,2,3,4,1,5,6,8]=>[4,7,2,3,1,5,6,8]=>[7,6,5,1,4,3,2,8]=>[5,3,4,1,6,7,2,8]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[7,4,3,1,2,5,6,8]=>[3,1,4,7,2,5,6,8]=>[7,6,5,2,1,3,4,8]=>[2,5,1,3,6,7,4,8]
[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[7,3,4,1,2,5,6,8]=>[4,1,7,3,2,5,6,8]=>[7,6,5,2,1,4,3,8]=>[2,5,4,1,6,7,3,8]
[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[7,4,1,2,3,5,6,8]=>[4,1,2,7,3,5,6,8]=>[7,6,5,3,2,1,4,8]=>[2,3,5,1,6,7,4,8]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>[7,3,2,1,4,5,6,8]=>[2,3,7,1,4,5,6,8]=>[7,6,5,4,1,2,3,8]=>[4,1,2,5,6,7,3,8]
[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[7,2,3,1,4,5,6,8]=>[3,7,2,1,4,5,6,8]=>[7,6,5,4,1,3,2,8]=>[4,3,1,5,6,7,2,8]
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[7,3,1,2,4,5,6,8]=>[3,1,7,2,4,5,6,8]=>[7,6,5,4,2,1,3,8]=>[2,4,1,5,6,7,3,8]
[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[7,2,1,3,4,5,6,8]=>[2,7,1,3,4,5,6,8]=>[7,6,5,4,3,1,2,8]=>[3,1,4,5,6,7,2,8]
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[2,3,4,5,6,1,7,8]=>[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7,8]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]=>[6,4,5,3,2,1,7,8]=>[2,3,5,6,4,1,7,8]=>[6,1,2,3,5,4,7,8]=>[6,1,2,5,3,4,7,8]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[2,3,6,4,5,1,7,8]=>[4,5,6,1,2,3,7,8]=>[6,1,2,4,5,3,7,8]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]=>[6,4,3,5,2,1,7,8]=>[2,5,4,6,3,1,7,8]=>[6,1,2,5,3,4,7,8]=>[6,1,5,3,2,4,7,8]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.]=>[6,3,4,5,2,1,7,8]=>[2,5,6,3,4,1,7,8]=>[6,1,2,5,4,3,7,8]=>[6,1,4,5,2,3,7,8]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[2,6,3,4,5,1,7,8]=>[3,4,5,6,1,2,7,8]=>[6,1,3,4,5,2,7,8]
[[[.,[[.,.],[.,[[.,.],.]]]],.],.]=>[5,6,4,2,3,1,7,8]=>[3,4,2,6,5,1,7,8]=>[5,6,1,3,2,4,7,8]=>[6,3,1,2,5,4,7,8]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>[5,4,6,2,3,1,7,8]=>[3,6,2,5,4,1,7,8]=>[5,4,6,1,3,2,7,8]=>[6,3,1,5,4,2,7,8]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]=>[6,5,3,2,4,1,7,8]=>[4,3,5,2,6,1,7,8]=>[6,1,4,2,3,5,7,8]=>[6,4,2,1,3,5,7,8]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[5,6,3,2,4,1,7,8]=>[4,3,6,2,5,1,7,8]=>[5,6,1,4,2,3,7,8]=>[6,4,2,1,5,3,7,8]
[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>[5,6,2,3,4,1,7,8]=>[4,6,2,3,5,1,7,8]=>[5,6,1,4,3,2,7,8]=>[6,3,4,1,5,2,7,8]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[6,4,3,2,5,1,7,8]=>[5,3,4,6,2,1,7,8]=>[6,1,5,2,3,4,7,8]=>[6,5,2,3,1,4,7,8]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[6,3,4,5,2,1,7,8]=>[5,2,3,4,6,1,7,8]=>[6,5,2,3,4,1,7,8]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>[5,3,4,2,6,1,7,8]=>[6,4,5,3,2,1,7,8]=>[5,2,4,3,6,1,7,8]=>[6,5,4,2,3,1,7,8]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8]
[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>[3,4,5,2,6,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,5,2,6,1,7,8]=>[6,5,3,4,2,1,7,8]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.]=>[5,4,2,3,6,1,7,8]=>[6,4,2,5,3,1,7,8]=>[5,3,2,4,6,1,7,8]=>[6,3,5,2,4,1,7,8]
[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>[5,2,3,4,6,1,7,8]=>[6,5,2,3,4,1,7,8]=>[5,4,3,2,6,1,7,8]=>[6,3,4,5,2,1,7,8]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>[4,3,2,5,6,1,7,8]=>[6,3,4,2,5,1,7,8]=>[4,2,3,5,6,1,7,8]=>[6,4,2,3,5,1,7,8]
[[[.,[[[[.,.],[.,.]],.],.]],.],.]=>[4,2,3,5,6,1,7,8]=>[6,4,2,3,5,1,7,8]=>[4,3,2,5,6,1,7,8]=>[6,3,4,2,5,1,7,8]
[[[.,[[[[.,[.,.]],.],.],.]],.],.]=>[3,2,4,5,6,1,7,8]=>[6,3,2,4,5,1,7,8]=>[3,2,4,5,6,1,7,8]=>[6,3,2,4,5,1,7,8]
[[[.,[[[[[.,.],.],.],.],.]],.],.]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[6,5,4,3,1,2,7,8]=>[3,1,4,5,6,2,7,8]=>[6,2,1,3,4,5,7,8]=>[2,6,1,3,4,5,7,8]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[5,4,6,3,1,2,7,8]=>[3,1,6,5,4,2,7,8]=>[5,4,6,2,1,3,7,8]=>[2,6,1,5,4,3,7,8]
[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>[4,5,6,3,1,2,7,8]=>[3,1,6,4,5,2,7,8]=>[4,5,6,2,1,3,7,8]=>[2,6,1,4,5,3,7,8]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[6,5,3,4,1,2,7,8]=>[4,1,5,3,6,2,7,8]=>[6,2,1,4,3,5,7,8]=>[2,6,4,1,3,5,7,8]
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[5,6,3,4,1,2,7,8]=>[4,1,6,3,5,2,7,8]=>[5,6,2,1,4,3,7,8]=>[2,6,4,1,5,3,7,8]
[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>[6,3,4,5,1,2,7,8]=>[5,1,6,3,4,2,7,8]=>[6,2,1,5,4,3,7,8]=>[2,6,4,5,1,3,7,8]
[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>[5,3,4,6,1,2,7,8]=>[6,1,5,3,4,2,7,8]=>[5,4,3,6,2,1,7,8]=>[2,6,4,5,3,1,7,8]
[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[3,4,5,6,1,2,7,8]=>[6,1,3,4,5,2,7,8]=>[3,4,5,6,2,1,7,8]=>[2,6,3,4,5,1,7,8]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>[6,5,4,2,1,3,7,8]=>[2,4,1,5,6,3,7,8]=>[6,3,1,2,4,5,7,8]=>[3,1,6,2,4,5,7,8]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[5,4,6,2,1,3,7,8]=>[2,6,1,5,4,3,7,8]=>[5,4,6,3,1,2,7,8]=>[3,1,6,5,4,2,7,8]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[6,5,4,1,2,3,7,8]=>[4,1,2,5,6,3,7,8]=>[6,3,2,1,4,5,7,8]=>[2,3,6,1,4,5,7,8]
[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[5,6,4,1,2,3,7,8]=>[4,1,2,6,5,3,7,8]=>[5,6,3,2,1,4,7,8]=>[2,3,6,1,5,4,7,8]
[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[6,4,5,1,2,3,7,8]=>[5,1,2,6,4,3,7,8]=>[6,3,2,1,5,4,7,8]=>[2,3,6,5,1,4,7,8]
[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>[5,4,6,1,2,3,7,8]=>[6,1,2,5,4,3,7,8]=>[5,4,6,3,2,1,7,8]=>[2,3,6,5,4,1,7,8]
[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[4,5,6,1,2,3,7,8]=>[6,1,2,4,5,3,7,8]=>[4,5,6,3,2,1,7,8]=>[2,3,6,4,5,1,7,8]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[6,5,3,2,1,4,7,8]=>[2,3,5,1,6,4,7,8]=>[6,4,1,2,3,5,7,8]=>[4,1,2,6,3,5,7,8]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[6,5,2,3,1,4,7,8]=>[3,5,2,1,6,4,7,8]=>[6,4,1,3,2,5,7,8]=>[4,3,1,6,2,5,7,8]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[6,5,3,1,2,4,7,8]=>[3,1,5,2,6,4,7,8]=>[6,4,2,1,3,5,7,8]=>[2,4,1,6,3,5,7,8]
[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[5,6,3,1,2,4,7,8]=>[3,1,6,2,5,4,7,8]=>[5,6,4,2,1,3,7,8]=>[2,4,1,6,5,3,7,8]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>[6,5,2,1,3,4,7,8]=>[2,5,1,3,6,4,7,8]=>[6,4,3,1,2,5,7,8]=>[3,1,4,6,2,5,7,8]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[5,1,2,3,6,4,7,8]=>[6,4,3,2,1,5,7,8]=>[2,3,4,6,1,5,7,8]
[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[5,6,1,2,3,4,7,8]=>[6,1,2,3,5,4,7,8]=>[5,6,4,3,2,1,7,8]=>[2,3,4,6,5,1,7,8]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[2,3,4,6,1,5,7,8]=>[6,5,1,2,3,4,7,8]=>[5,1,2,3,6,4,7,8]
[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[6,4,1,2,3,5,7,8]=>[4,1,2,6,3,5,7,8]=>[6,5,3,2,1,4,7,8]=>[2,3,5,1,6,4,7,8]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[6,3,2,1,4,5,7,8]=>[2,3,6,1,4,5,7,8]=>[6,5,4,1,2,3,7,8]=>[4,1,2,5,6,3,7,8]
[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[6,3,1,2,4,5,7,8]=>[3,1,6,2,4,5,7,8]=>[6,5,4,2,1,3,7,8]=>[2,4,1,5,6,3,7,8]
[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[6,2,1,3,4,5,7,8]=>[2,6,1,3,4,5,7,8]=>[6,5,4,3,1,2,7,8]=>[3,1,4,5,6,2,7,8]
[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7,8]=>[6,5,4,3,2,1,7,8]=>[2,3,4,5,6,1,7,8]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[2,3,5,4,1,6,7,8]=>[4,5,1,2,3,6,7,8]=>[5,1,2,4,3,6,7,8]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[2,4,5,3,1,6,7,8]=>[5,1,2,4,3,6,7,8]=>[5,1,4,2,3,6,7,8]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[2,5,3,4,1,6,7,8]=>[3,4,5,1,2,6,7,8]=>[5,1,3,4,2,6,7,8]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[5,4,2,3,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[5,1,3,2,4,6,7,8]=>[5,3,1,2,4,6,7,8]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[3,5,2,4,1,6,7,8]=>[4,5,1,3,2,6,7,8]=>[5,3,1,4,2,6,7,8]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[5,3,2,4,1,6,7,8]=>[4,3,5,2,1,6,7,8]=>[5,1,4,2,3,6,7,8]=>[5,4,2,1,3,6,7,8]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[5,2,3,4,1,6,7,8]=>[4,5,2,3,1,6,7,8]=>[5,1,4,3,2,6,7,8]=>[5,3,4,1,2,6,7,8]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[5,3,4,2,1,6,7,8]=>[4,2,3,5,1,6,7,8]=>[5,4,2,3,1,6,7,8]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[4,2,3,5,1,6,7,8]=>[5,4,2,3,1,6,7,8]=>[4,3,2,5,1,6,7,8]=>[5,3,4,2,1,6,7,8]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[5,4,3,1,2,6,7,8]=>[3,1,4,5,2,6,7,8]=>[5,2,1,3,4,6,7,8]=>[2,5,1,3,4,6,7,8]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[5,3,4,1,2,6,7,8]=>[4,1,5,3,2,6,7,8]=>[5,2,1,4,3,6,7,8]=>[2,5,4,1,3,6,7,8]
[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[4,3,5,1,2,6,7,8]=>[5,1,4,3,2,6,7,8]=>[4,3,5,2,1,6,7,8]=>[2,5,4,3,1,6,7,8]
[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[3,4,5,1,2,6,7,8]=>[5,1,3,4,2,6,7,8]=>[3,4,5,2,1,6,7,8]=>[2,5,3,4,1,6,7,8]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[5,4,2,1,3,6,7,8]=>[2,4,1,5,3,6,7,8]=>[5,3,1,2,4,6,7,8]=>[3,1,5,2,4,6,7,8]
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[5,4,1,2,3,6,7,8]=>[4,1,2,5,3,6,7,8]=>[5,3,2,1,4,6,7,8]=>[2,3,5,1,4,6,7,8]
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[4,5,1,2,3,6,7,8]=>[5,1,2,4,3,6,7,8]=>[4,5,3,2,1,6,7,8]=>[2,3,5,4,1,6,7,8]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[5,3,2,1,4,6,7,8]=>[2,3,5,1,4,6,7,8]=>[5,4,1,2,3,6,7,8]=>[4,1,2,5,3,6,7,8]
[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[5,2,3,1,4,6,7,8]=>[3,5,2,1,4,6,7,8]=>[5,4,1,3,2,6,7,8]=>[4,3,1,5,2,6,7,8]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[5,3,1,2,4,6,7,8]=>[3,1,5,2,4,6,7,8]=>[5,4,2,1,3,6,7,8]=>[2,4,1,5,3,6,7,8]
[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[5,2,1,3,4,6,7,8]=>[2,5,1,3,4,6,7,8]=>[5,4,3,1,2,6,7,8]=>[3,1,4,5,2,6,7,8]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[4,1,3,2,5,6,7,8]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[3,4,2,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[4,3,1,2,5,6,7,8]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[3,4,2,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>[9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[8,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,8,1]=>[8,9,1,2,3,4,5,6,7]=>[9,1,2,3,4,5,6,8,7]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>[7,8,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,7,8,1]=>[7,8,9,1,2,3,4,5,6]=>[9,1,2,3,4,5,7,8,6]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]=>[6,7,8,9,5,4,3,2,1]=>[2,3,4,5,9,6,7,8,1]=>[6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,6,7,8,5]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]=>[5,6,7,8,9,4,3,2,1]=>[2,3,4,9,5,6,7,8,1]=>[5,6,7,8,9,1,2,3,4]=>[9,1,2,3,5,6,7,8,4]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,3,2,1]=>[2,3,9,4,5,6,7,8,1]=>[4,5,6,7,8,9,1,2,3]=>[9,1,2,4,5,6,7,8,3]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,2,1]=>[2,9,3,4,5,6,7,8,1]=>[3,4,5,6,7,8,9,1,2]=>[9,1,3,4,5,6,7,8,2]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>[10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[9,10,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,10,9,1]=>[9,10,1,2,3,4,5,6,7,8]=>[10,1,2,3,4,5,6,7,9,8]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>[9,7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,9,7,1]=>[9,1,2,3,4,5,6,8,7]=>[9,1,2,3,4,5,8,6,7]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]=>[8,9,10,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,10,8,9,1]=>[8,9,10,1,2,3,4,5,6,7]=>[10,1,2,3,4,5,6,8,9,7]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]]=>[7,8,9,10,6,5,4,3,2,1]=>[2,3,4,5,6,10,7,8,9,1]=>[7,8,9,10,1,2,3,4,5,6]=>[10,1,2,3,4,5,7,8,9,6]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[6,7,8,9,10,5,4,3,2,1]=>[2,3,4,5,10,6,7,8,9,1]=>[6,7,8,9,10,1,2,3,4,5]=>[10,1,2,3,4,6,7,8,9,5]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]]=>[5,6,7,8,9,10,4,3,2,1]=>[2,3,4,10,5,6,7,8,9,1]=>[5,6,7,8,9,10,1,2,3,4]=>[10,1,2,3,5,6,7,8,9,4]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,10,3,2,1]=>[2,3,10,4,5,6,7,8,9,1]=>[4,5,6,7,8,9,10,1,2,3]=>[10,1,2,4,5,6,7,8,9,3]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[4,5,6,7,8,9,2,3,1]=>[3,9,2,4,5,6,7,8,1]=>[4,5,6,7,8,9,1,3,2]=>[9,3,1,4,5,6,7,8,2]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,10,2,1]=>[2,10,3,4,5,6,7,8,9,1]=>[3,4,5,6,7,8,9,10,1,2]=>[10,1,3,4,5,6,7,8,9,2]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[3,4,5,6,7,8,9,1,2]=>[9,1,3,4,5,6,7,8,2]=>[3,4,5,6,7,8,9,2,1]=>[2,9,3,4,5,6,7,8,1]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[8,7,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,8,7,1]=>[8,7,9,1,2,3,4,5,6]=>[9,1,2,3,4,5,8,7,6]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[8,7,6,5,4,3,2,9,1]=>[9,3,4,5,6,7,8,2,1]=>[8,2,3,4,5,6,7,9,1]=>[9,8,2,3,4,5,6,7,1]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,1,9]=>[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7,9]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[9,8,7,6,5,4,3,10,2,1]=>[2,10,4,5,6,7,8,9,3,1]=>[9,3,4,5,6,7,8,10,1,2]=>[10,1,9,3,4,5,6,7,8,2]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[8,7,6,5,4,3,1,2,9]=>[3,1,4,5,6,7,8,2,9]=>[8,2,1,3,4,5,6,7,9]=>[2,8,1,3,4,5,6,7,9]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[9,8,7,6,5,4,3,2,10,1]=>[10,3,4,5,6,7,8,9,2,1]=>[9,2,3,4,5,6,7,8,10,1]=>[10,9,2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>[9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,8,10]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[10,8,6,4,2,1,3,5,7,9]=>[2,4,1,6,3,8,5,10,7,9]=>[10,9,7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,9,6,10,8]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[9,2,1,3,4,5,6,7,8]=>[2,9,1,3,4,5,6,7,8]=>[9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,2]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[11,1,2,3,4,5,6,7,8,9,10]=>[11,1,2,3,4,5,6,7,8,9,10]=>[11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,1]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[10,2,1,3,4,5,6,7,8,9]=>[2,10,1,3,4,5,6,7,8,9]=>[10,9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,10,2]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[9,3,1,2,4,5,6,7,8]=>[3,1,9,2,4,5,6,7,8]=>[9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,3]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[9,2,3,1,4,5,6,7,8]=>[3,9,2,1,4,5,6,7,8]=>[9,8,7,6,5,4,1,3,2]=>[4,3,1,5,6,7,8,9,2]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[4,2,3,5,6,7,8,9,1]=>[9,4,2,3,5,6,7,8,1]=>[4,3,2,5,6,7,8,9,1]=>[9,3,4,2,5,6,7,8,1]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[3,4,2,5,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]=>[3,4,2,5,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,10,1]=>[10,3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,10,1]=>[10,3,2,4,5,6,7,8,9,1]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[8,9,1,2,3,4,5,6,7]=>[9,1,2,3,4,5,6,8,7]=>[8,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,8,1]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[7,8,9,1,2,3,4,5,6]=>[9,1,2,3,4,5,7,8,6]=>[7,8,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,7,8,1]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[6,7,8,9,1,2,3,4,5]=>[9,1,2,3,4,6,7,8,5]=>[6,7,8,9,5,4,3,2,1]=>[2,3,4,5,9,6,7,8,1]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,9,7]=>[9,7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,9,1,8]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[9,10,1,2,3,4,5,6,7,8]=>[10,1,2,3,4,5,6,7,9,8]=>[9,10,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,10,9,1]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[8,9,10,1,2,3,4,5,6,7]=>[10,1,2,3,4,5,6,8,9,7]=>[8,9,10,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,10,8,9,1]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[7,8,9,10,1,2,3,4,5,6]=>[10,1,2,3,4,5,7,8,9,6]=>[7,8,9,10,6,5,4,3,2,1]=>[2,3,4,5,6,10,7,8,9,1]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[6,7,8,9,10,1,2,3,4,5]=>[10,1,2,3,4,6,7,8,9,5]=>[6,7,8,9,10,5,4,3,2,1]=>[2,3,4,5,10,6,7,8,9,1]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[3,4,5,6,7,8,9,10,1,2]=>[10,1,3,4,5,6,7,8,9,2]=>[3,4,5,6,7,8,9,10,2,1]=>[2,10,3,4,5,6,7,8,9,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,2]=>[9,2,1,3,4,5,6,7,8]=>[2,9,1,3,4,5,6,7,8]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,10,2]=>[10,2,1,3,4,5,6,7,8,9]=>[2,10,1,3,4,5,6,7,8,9]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>[10,1,2,3,4,5,6,7,8,9,11]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[11,10,9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,10,11,2]=>[11,2,1,3,4,5,6,7,8,9,10]=>[2,11,1,3,4,5,6,7,8,9,10]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,3]=>[9,3,1,2,4,5,6,7,8]=>[3,1,9,2,4,5,6,7,8]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,9,4]=>[9,4,1,2,3,5,6,7,8]=>[4,1,2,9,3,5,6,7,8]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>[9,8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,9,6]=>[9,6,1,2,3,4,5,7,8]=>[6,1,2,3,4,9,5,7,8]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[9,8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,9,7]=>[9,7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,9,6,8]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[9,7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,9,1,8]=>[9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,9,7]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[10,9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,10,3]=>[10,3,1,2,4,5,6,7,8,9]=>[3,1,10,2,4,5,6,7,8,9]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[10,9,8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,9,10,4]=>[10,4,1,2,3,5,6,7,8,9]=>[4,1,2,10,3,5,6,7,8,9]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>[10,9,8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,9,10,6]=>[10,6,1,2,3,4,5,7,8,9]=>[6,1,2,3,4,10,5,7,8,9]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>[10,9,8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,9,10,7]=>[10,7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,10,6,8,9]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[10,8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,10,1,9]=>[10,9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,10,8]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,1,8,9]=>[7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,6,8,9]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>[6,1,2,3,4,5,7,8,9]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[8,7,6,5,4,3,2,1,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[7,6,5,4,3,2,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[6,5,4,3,2,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[5,4,3,2,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>[3,1,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,9,1]=>[9,1,2,3,5,4,6,7,8]=>[9,1,2,5,3,4,6,7,8]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,4,2,3,1]=>[3,4,2,5,6,7,8,9,1]=>[9,1,3,2,4,5,6,7,8]=>[9,3,1,2,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]=>[10,8,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,10,8,1]=>[10,1,2,3,4,5,6,7,9,8]=>[10,1,2,3,4,5,6,9,7,8]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[10,8,9,6,7,4,5,2,3,1]=>[3,5,2,7,4,9,6,10,8,1]=>[10,1,3,2,5,4,7,6,9,8]=>[10,3,1,5,2,7,4,9,6,8]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]]=>[12,10,11,8,9,6,7,4,5,2,3,1]=>[3,5,2,7,4,9,6,11,8,12,10,1]=>[12,1,3,2,5,4,7,6,9,8,11,10]=>[12,3,1,5,2,7,4,9,6,11,8,10]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[9,2,3,4,5,6,7,8,1]=>[8,9,2,3,4,5,6,7,1]=>[9,1,8,7,6,5,4,3,2]=>[9,3,4,5,6,7,8,1,2]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>[8,2,1,3,4,5,6,7,9]=>[2,8,1,3,4,5,6,7,9]=>[8,7,6,5,4,3,1,2,9]=>[3,1,4,5,6,7,8,2,9]
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]]=>[8,2,3,4,5,6,7,9,1]=>[9,8,2,3,4,5,6,7,1]=>[8,7,6,5,4,3,2,9,1]=>[9,3,4,5,6,7,8,2,1]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>[8,9,2,3,4,5,6,7,1]=>[7,9,2,3,4,5,6,8,1]=>[8,9,1,7,6,5,4,3,2]=>[9,3,4,5,6,7,1,8,2]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>[10,2,3,4,5,6,7,8,9,1]=>[9,10,2,3,4,5,6,7,8,1]=>[10,1,9,8,7,6,5,4,3,2]=>[10,3,4,5,6,7,8,9,1,2]
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.]=>[5,3,2,1,4,6,7,8,9]=>[2,3,5,1,4,6,7,8,9]=>[5,4,1,2,3,6,7,8,9]=>[4,1,2,5,3,6,7,8,9]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]=>[3,4,5,6,7,8,2,9,1]=>[9,8,3,4,5,6,7,2,1]=>[3,4,5,6,7,8,2,9,1]=>[9,8,3,4,5,6,7,2,1]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.]=>[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]=>[4,2,3,1,5,6,7,8,9]=>[3,4,2,1,5,6,7,8,9]=>[4,1,3,2,5,6,7,8,9]=>[4,3,1,2,5,6,7,8,9]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.]=>[4,1,2,3,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>[5,1,2,3,4,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.]=>[6,1,2,3,4,5,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>[7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,6,8,9]=>[7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,1,8,9]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,1,9]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>[3,1,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]=>[4,1,2,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]=>[5,1,2,3,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]=>[6,1,2,3,4,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]=>[7,1,2,3,4,5,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>[8,1,2,3,4,5,6,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[2,3,4,5,6,7,8,1,9,10]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,1,10]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>[9,3,4,5,6,7,8,1,2]=>[8,1,9,3,4,5,6,7,2]=>[9,2,1,8,7,6,5,4,3]=>[2,9,4,5,6,7,8,1,3]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>[4,5,6,7,8,9,2,1,3]=>[2,9,1,4,5,6,7,8,3]=>[4,5,6,7,8,9,3,1,2]=>[3,1,9,4,5,6,7,8,2]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[10,9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,10,8]=>[10,8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,10,1,9]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]=>[10,9,8,7,6,5,4,3,2,11,1]=>[11,3,4,5,6,7,8,9,10,2,1]=>[10,2,3,4,5,6,7,8,9,11,1]=>[11,10,2,3,4,5,6,7,8,9,1]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[9,8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,9,6]=>[9,6,5,4,3,2,1,7,8]=>[2,3,4,5,6,9,1,7,8]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[9,8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,9,5]=>[9,5,4,3,2,1,6,7,8]=>[2,3,4,5,9,1,6,7,8]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>[9,7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,9,6,8]=>[9,8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,9,7]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>[10,9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,9,10,7]=>[10,7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,10,1,8,9]
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.]=>[3,2,4,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]=>[7,8,6,5,4,3,2,9,1]=>[9,3,4,5,6,8,7,2,1]=>[7,8,2,3,4,5,6,9,1]=>[9,8,2,3,4,5,7,6,1]
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]=>[8,9,7,6,5,4,3,2,10,1]=>[10,3,4,5,6,7,9,8,2,1]=>[8,9,2,3,4,5,6,7,10,1]=>[10,9,2,3,4,5,6,8,7,1]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.]=>[3,4,2,1,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>[4,1,3,2,5,6,7,8,9]
[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]]=>[5,4,6,7,8,9,3,2,1]=>[2,3,9,5,4,6,7,8,1]=>[5,4,6,7,8,9,1,2,3]=>[9,1,2,5,4,6,7,8,3]
[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]]=>[6,5,7,8,9,4,3,2,1]=>[2,3,4,9,6,5,7,8,1]=>[6,5,7,8,9,1,2,3,4]=>[9,1,2,3,6,5,7,8,4]
[[[[[.,[.,[.,[.,.]]]],.],.],.],[.,.]]=>[9,4,3,2,1,5,6,7,8]=>[2,3,4,9,1,5,6,7,8]=>[9,8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,9,4]
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]=>[8,7,1,2,3,4,5,6,9]=>[7,1,2,3,4,5,8,6,9]=>[8,6,5,4,3,2,1,7,9]=>[2,3,4,5,6,8,1,7,9]
[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]]=>[9,6,7,8,5,4,3,2,1]=>[2,3,4,5,8,9,6,7,1]=>[9,1,2,3,4,5,8,7,6]=>[9,1,2,3,4,7,8,5,6]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]]=>[10,11,1,2,3,4,5,6,7,8,9]=>[11,1,2,3,4,5,6,7,8,10,9]=>[10,11,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,11,10,1]
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.]=>[3,4,5,6,7,8,2,1,9]=>[2,8,3,4,5,6,7,1,9]=>[3,4,5,6,7,8,1,2,9]=>[8,1,3,4,5,6,7,2,9]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]]=>[10,3,1,2,4,5,6,7,8,9]=>[3,1,10,2,4,5,6,7,8,9]=>[10,9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,10,3]
[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]=>[7,6,8,9,5,4,3,2,1]=>[2,3,4,5,9,7,6,8,1]=>[7,6,8,9,1,2,3,4,5]=>[9,1,2,3,4,7,6,8,5]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
Map
inverse first fundamental transformation
Description
Let $\sigma = (i_{11}\cdots i_{1k_1})\cdots(i_{\ell 1}\cdots i_{\ell k_\ell})$ be a permutation given by cycle notation such that every cycle starts with its maximal entry, and all cycles are ordered increasingly by these maximal entries.
Maps $\sigma$ to the permutation $[i_{11},\ldots,i_{1k_1},\ldots,i_{\ell 1},\ldots,i_{\ell k_\ell}]$ in one-line notation.
In other words, this map sends the maximal entries of the cycles to the left-to-right maxima, and the sequences between two left-to-right maxima are given by the cycles.
Maps $\sigma$ to the permutation $[i_{11},\ldots,i_{1k_1},\ldots,i_{\ell 1},\ldots,i_{\ell k_\ell}]$ in one-line notation.
In other words, this map sends the maximal entries of the cycles to the left-to-right maxima, and the sequences between two left-to-right maxima are given by the cycles.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.
searching the database
Sorry, this map was not found in the database.